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Theory of gravitation as curved spacetime
General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the geometric theory of gravitation published
General_relativity
Two interrelated physics theories by Albert Einstein
The theory of relativity comprises two physics theories by Albert Einstein: special relativity and general relativity, proposed and published in 1905
Theory_of_relativity
Tests of general relativity serve to establish observational evidence for the theory of general relativity. The first three tests, proposed by Albert
Tests_of_general_relativity
Theory of gravity by Albert Einstein
General relativity is a theory of gravitation developed by Albert Einstein between 1907 and 1915. The theory of general relativity says that the observed
Introduction to general relativity
Introduction_to_general_relativity
Proposed theories of gravity
to general relativity are physical theories that attempt to describe the phenomenon of gravitation in competition with Einstein's theory of general relativity
Alternatives to general relativity
Alternatives_to_general_relativity
When studying and formulating Albert Einstein's theory of general relativity, various mathematical structures and techniques are utilized. The main tools
Mathematics of general relativity
Mathematics_of_general_relativity
Origins of Einstein's gravitation theory
General relativity is a theory of gravitation that was developed by Albert Einstein between 1907 and 1915, with contributions by many others after 1915
History_of_general_relativity
Physics principle
explicitly in Albert Einstein's special relativity and general relativity. For example, in the framework of special relativity, the Maxwell equations have the
Principle_of_relativity
Generalization of straight line to a curved space time
In general relativity, a geodesic generalizes the notion of a "straight line" to curved spacetime. Importantly, the world line of a particle free from
Geodesics in general relativity
Geodesics_in_general_relativity
Tensor that describes the 4D geometry of spacetime
In general relativity, the metric tensor (in this context often abbreviated to simply the metric) is the fundamental object of study. The metric captures
Metric tensor (general relativity)
Metric_tensor_(general_relativity)
Debate about credit for general relativity
Albert Einstein's discovery of the gravitational field equations of general relativity and David Hilbert's almost simultaneous derivation of the theory using
General relativity priority dispute
General_relativity_priority_dispute
Theory of interwoven space and time by Albert Einstein
In physics, the special theory of relativity, or simply special relativity, is a scientific theory of the relationship between space and time. In Albert
Special_relativity
1984 graduate textbook by Robert M. Wald
General Relativity is a graduate textbook and reference written by the gravitational physicist Robert Wald. It provides a mathematically rigorous and thorough
General_Relativity_(book)
Sub-area of scientific computing for solving General Relativity equations
Numerical relativity is one of the branches of general relativity that uses numerical methods and algorithms to solve and analyze problems. To this end
Numerical_relativity
The mathematics of general relativity is complicated. In Newton's theories of motion, an object's length and the rate at which time passes remain constant
Introduction to the mathematics of general relativity
Introduction_to_the_mathematics_of_general_relativity
Book by Albert Einstein
Relativity: The Special and the General Theory (German: Über die spezielle und die allgemeine Relativitätstheorie) is a popular science book by Albert
Relativity: The Special and the General Theory
Relativity:_The_Special_and_the_General_Theory
Academic journal
General Relativity and Gravitation is a monthly peer-reviewed scientific journal. It was established in 1970, and is published by Springer Science+Business
General Relativity and Gravitation
General_Relativity_and_Gravitation
Facet of general relativity
In general relativity, the notion of mass is more subtle than in classical mechanics or special relativity. The theory itself does not single out a preferred
Mass_in_general_relativity
Tensor describing energy momentum density in spacetime
sources of the gravitational field in the Einstein field equations of general relativity, just as mass density is the source of such a field in Newtonian gravity
Stress–energy_tensor
Set of integral curves of a vector field
In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four-dimensional
Congruence (general relativity)
Congruence_(general_relativity)
Attraction of masses and energy
weaker as objects get farther away. Gravity is described by the general theory of relativity, proposed by Albert Einstein in 1915, which describes gravity
Gravity
Mathematical theory of the geometry of space and time
spacetime is the mathematical model in which, with Einstein's theory of general relativity, gravity naturally arises, as opposed to being described as a fundamental
Curved_spacetime
Criticism of the theory of relativity of Albert Einstein was mainly expressed in the early years after its publication in the early twentieth century,
Criticism of the theory of relativity
Criticism_of_the_theory_of_relativity
holes have primarily been subjects of research since the advent of general relativity in the early 1900s, although similar concepts were discussed before
History_of_black_hole_physics
Topics referred to by the same term
relativity in Wiktionary, the free dictionary. Relativity may refer to: Galilean relativity, Galileo's conception of relativity Numerical relativity,
Relativity
Book by Leonard Susskind
classical mechanics, quantum mechanics, special relativity and classical field theory, general relativity, cosmology, and statistical mechanics. Videos
The_Theoretical_Minimum
Proposed theory of gravitation
the Jordan–Brans–Dicke theory) is a competitor to Einstein's general theory of relativity. It is an example of a scalar–tensor theory, a gravitational
Brans–Dicke_theory
Theory of quantum gravity merging quantum mechanics and general relativity
gravity based directly on Albert Einstein's geometric formulation, general relativity. As a theory, LQG postulates that the structure of space and time
Loop_quantum_gravity
Conceptual conflict between general relativity and quantum mechanics
quantum mechanics and general relativity. Quantum mechanics regards the flow of time as universal and absolute, whereas general relativity regards the flow
Problem_of_time
Compact astronomical body
anything, including light, from escaping. Albert Einstein's theory of general relativity, which describes gravitation as the curvature of spacetime, predicts
Black_hole
German-born theoretical physicist (1879–1955)
German-born theoretical physicist best known for developing the known theory of relativity. Einstein also made important contributions to quantum theory. His mass–energy
Albert_Einstein
Rate of change of velocity
mechanical accelerometer. In general relativity, gravity and inertial acceleration may be locally indistinguishable (see General relativity). In classical mechanics
Acceleration
Hypothetical travel into the past or future
phenomenon and is well understood within the framework of special relativity and general relativity. However, making one body advance or delay more than a few
Time_travel
The two-body problem in general relativity (or relativistic two-body problem) is the determination of the motion and gravitational field of two bodies
Two-body problem in general relativity
Two-body_problem_in_general_relativity
Concept of absolute rotation
concept was a guiding factor in Einstein's development of the general theory of relativity. Einstein realized that the overall distribution of matter would
Mach's_principle
Description of physical properties at the atomic and subatomic scale
electromagnetic interaction. Quantum electrodynamics is, along with general relativity, one of the most accurate physical theories ever devised. The full
Quantum_mechanics
Spacetime modeled by four pointwise-orthonormal vector fields
In general relativity, a frame field (also called a tetrad or vierbein) is a set of four pointwise-orthonormal vector fields, one timelike and three spacelike
Frame fields in general relativity
Frame_fields_in_general_relativity
Effective theory of gravity
In physics, non-relativistic general relativity is an approximate approach to modeling gravity based on applying effective field theory. Effective field
Non-relativistic general relativity
Non-relativistic_general_relativity
Detail of the global positioning system
stepping stone from special to general relativity" (PDF). Am. J. Phys., Vol. 74, No. 1. pp. 22–25. Ashby, Neil Relativity and GPS. Physics Today, May 2002
Error analysis for the Global Positioning System
Error_analysis_for_the_Global_Positioning_System
Physical constant equal to the speed of light
gravitational waves in the general theory of relativity is equal to the speed of light in vacuum, c. Within the theory of special relativity, the constant c is
Speed_of_gravity
Boundary in spacetime satisfying given conditions
role in Albert Einstein's theory of general relativity: Absolute horizon, a boundary in spacetime in general relativity inside of which events cannot affect
Horizon_(general_relativity)
article will use the Einstein summation convention. The theory of general relativity required the adaptation of existing theories of physical, electromagnetic
Physical theories modified by general relativity
Physical_theories_modified_by_general_relativity
Field-equations in general relativity
In the general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution
Einstein_field_equations
Classical theory of gravitation
alternatives to general relativity. The theory was first proposed by Élie Cartan in 1922. Einstein–Cartan theory differs from general relativity in two ways:
Einstein–Cartan_theory
Theory of gravity
between general relativity and quantum mechanics. Shape dynamics is dynamically equivalent to the canonical formulation of general relativity, known as
Shape_dynamics
Equation describing the transport of some quantity
created or destroyed. (See below for the nuances associated with general relativity.) Therefore, there is a continuity equation for energy flow: ∂ u ∂
Continuity_equation
Conjecture that the laws of physics prevent closed timelike curves
by Stephen Hawking that laws of physics beyond those of standard general relativity prevent time travel— even when the latter theory states that it
Chronology protection conjecture
Chronology_protection_conjecture
Change in speed due only to gravity
speed reached. Air resistance is neglected. In Einstein's theory of general relativity, gravitation is an attribute of curved spacetime instead of being
Gravitational_acceleration
framework of the Standard Model itself, which remains inconsistent with general relativity. This incompatibility causes both theories to break down under extreme
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Array of numbers describing a metric connection
torsion, the Levi-Civita connection. It is common in physics and general relativity to work almost exclusively with the Levi-Civita connection, by working
Christoffel_symbols
Physical effect in general relativity
In physics and general relativity, gravitational redshift (known as Einstein shift in older literature) is the phenomenon that electromagnetic waves or
Gravitational_redshift
World line of a particle in spacetime which returns to its starting point
Kurt Gödel in 1949, who discovered a solution to the equations of general relativity (GR) allowing CTCs known as the Gödel metric, and since then other
Closed_timelike_curve
Rotation of a celestial body's orbital line of apsides
precisely explained by general relativity. A variety of factors can lead to periastron precession such as general relativity, stellar quadrupole moments
Apsidal_precession
The history of special relativity consists of many theoretical results and empirical findings obtained by Albert A. Michelson, Hendrik Lorentz, Henri Poincaré
History_of_special_relativity
Clock that monitors the resonant frequency of atoms
potential via clock rates), and tests of fundamental constants and general relativity. The Scottish physicist James Clerk Maxwell proposed measuring time
Atomic_clock
Principle stating that physical laws are the same in all coordinate systems
of fundamental physical laws. While this concept is exhibited by general relativity, which describes the dynamics of spacetime, one should not expect
General_covariance
Concept in physical models
another variant of the positive energy condition of Einstein's general theory of relativity; however, the positive energy condition is not a required condition
Negative_mass
The following is a timeline of gravitational physics and general relativity. 3rd century B.C. – Aristarchus of Samos proposes the heliocentric model. 1543
Timeline of gravitational physics and relativity
Timeline_of_gravitational_physics_and_relativity
Path of an object through spacetime
is now used most often in the context of relativity theories (i.e., special relativity and general relativity). A world line of an object (generally approximated
World_line
have made major contributions to the (mainstream) development of general relativity, as acknowledged by standard texts on the subject. Some related lists
List of contributors to general relativity
List_of_contributors_to_general_relativity
Fundamental mechanical principles
classical mechanics through quantum mechanics, particle physics, and general relativity. Action principles start with an energy function called a Lagrangian
Action_principles
Cosmological model in which the observable universe is the interior of a black hole
observable universe. This model integrates shock waves into Einstein's general relativity. Nikodem Popławski proposed in 2010 the first physically grounded
Black_hole_cosmology
Condition in which spacetime itself breaks down
singularities exist in the theory of general relativity, the best theory of gravity available. A singularity in general relativity can be defined by the scalar
Gravitational_singularity
Law of physics and chemistry
of energy, the conservation of energy can arguably be violated by general relativity on the cosmological scale. In quantum mechanics, Noether's theorem
Conservation_of_energy
Unified field theory
dimension of space beyond the conventional four-dimensional spacetime of general relativity. According to this proposal, there are three dimensions of space and
Kaluza–Klein_theory
Aspect of relativity in physics
were first predicted by Albert Einstein as a consequence of his general theory of relativity, appearing as "ripples in spacetime curvature". Hundreds of these
Gravitational_wave
Amount of matter present in an object
observation has been incorporated a priori in the equivalence principle of general relativity. The International System of Units (SI) unit of mass is the kilogram
Mass
Theory of rapid universe expansion
he found that a positive-energy false vacuum would, according to general relativity, generate an exponential expansion of space. The expansion also resolves
Cosmic_inflation
German physicist (1873–1916)
provided the first exact solution to the Einstein field equations of general relativity, for the limited case of a single spherical non-rotating mass, which
Karl_Schwarzschild
Double pulsar in the constellation Puppis
Objects of this kind enable precise testing of Einstein's theory of general relativity, because the precise and consistent timing of the pulsar pulses allows
PSR_J0737−3039
Special relativity formed using the SO(4,1) symmetry group
group SO(4,1), that of de Sitter space. In the standard theory of general relativity, de Sitter space is a highly symmetrical special vacuum solution,
De Sitter invariant special relativity
De_Sitter_invariant_special_relativity
French mathematical physicist (1923–2025)
physicist now best remembered for her investigation of the mathematics of general relativity. Her proof that the Einstein field equations can be expressed as a
Yvonne_Choquet-Bruhat
Set of scalars in general relativity
In general relativity, curvature invariants are a set of scalars formed from the Riemann, Weyl and Ricci tensors – which represent curvature, hence the
Curvature invariant (general relativity)
Curvature_invariant_(general_relativity)
Time period of seeming infinite density just after the Big Bang
universe from which the expansion of the universe began, extrapolating general relativity beyond this state leads to a singularity. However, this singularity
Initial_singularity
Force acting on charged particles in electric and magnetic fields
of classical electrodynamics. While the law remains valid in special relativity, it breaks down at small scales where quantum effects become important
Lorentz_force
Pulsar in the constellation Aquila
Astronomy portal Physics portal Tests of general relativity Timeline of gravitational physics and relativity Roman, Nancy G. (1987). "Identification of
Hulse–Taylor_pulsar
Everything in space and time
foam-like structure. Discoveries in the early 20th century, including general relativity, led to the modern view of an expanding, isotropic, homogeneous universe
Universe
Vector field on a pseudo-Riemannian manifold that preserves the metric tensor
hyperbolic space). Killing fields are used to discuss isometries in general relativity (in which the geometry of spacetime as distorted by gravitational
Killing_vector_field
Set of spacetime events, light-connected to a given event
In special and general relativity, a light cone (or null cone) is the path that a flash of light, emanating from a single event — localized to a single
Light_cone
Theory or model concerning the origin of the universe
is followed to smaller times the density exceeds the validity of general relativity. One approach to the limitations of running Big Bang model back to
Cosmogony
Mexican theoretical physicist (born 1964)
University, receiving his PhD degree in 1994 through study of numerical general relativity. After 1996 he worked at the Max Planck Institute for Gravitational
Miguel_Alcubierre
Fundamental study of potential theory
function for the outside of the sphere (see the figure at the top). In general relativity, the gravitational potential is replaced by the metric tensor. When
Gravitational_potential
Physical quantities taking values at each point in space and time
because of the ongoing utility of the field concept for research in general relativity and quantum electrodynamics). There are several examples of classical
Field_(physics)
physicist of the 20th century, best known for his special and general theories of relativity. He also made important contributions to statistical mechanics
List of scientific publications by Albert Einstein
List_of_scientific_publications_by_Albert_Einstein
Bending of trajectories in general relativity by a tidal force
In general relativity, if two objects are set in motion along two initially parallel trajectories, the presence of a tidal gravitational force will cause
Geodesic_deviation
Hypothetical physical concept
and Albert Einstein's theory of relativity explained how they are connected. By the 1930s, Paul Dirac combined relativity and quantum mechanics and, working
Theory_of_everything
Theory extending Einstein gravity
Quadratic gravity (QG) is an extension of general relativity obtained by adding all local quadratic-in-curvature terms to the Einstein–Hilbert Lagrangian
Quadratic_gravity
Motion of an object with constant proper acceleration in special relativity
the motion of an object with constant proper acceleration in special relativity. It is called hyperbolic motion because the equation describing the path
Hyperbolic motion (relativity)
Hyperbolic_motion_(relativity)
Concept that simultaneity depends on choice of reference frame
In physics, the relativity of simultaneity is the concept that distant simultaneity – whether two spatially separated events occur at the same time – is
Relativity_of_simultaneity
Energy of a moving physical body
there is also an expression for the kinetic energy of the particle in general relativity. If the particle has momentum p β = m g β α u α {\displaystyle p_{\beta
Kinetic_energy
Israeli-American physicist (1909–1995)
After leaving Princeton, Rosen continued to publish on relativity with "General Relativity and Flat Space" in 1940 and "Energy and momentum of cylindrical
Nathan_Rosen
4-dimensional analogue of force used in theories of relativity
In the special theory of relativity, four-force is a four-vector that replaces the classical force. The four-force is defined as the rate of change in
Four-force
Theory proposed by Roger Penrose
theory was proposed by Roger Penrose in 1967 as a unification of general relativity (space-time geometry) and quantum mechanics (quantum theory) and has
Twistor_theory
Physical theory of the cosmos
universe is of order 10−5. The key physical law behind these models, general relativity has passed stringent tests on the scale of the Solar System and binary
Big_Bang
American theoretical physicist (1911–2008)
theoretical physicist. He was largely responsible for reviving interest in general relativity in the United States after World War II. Wheeler also worked with
John_Archibald_Wheeler
State of balance between external forces on a fluid and internal pressure gradient
pressure-gradient force from diffusing the atmosphere into outer space. In general, it is what causes objects in space to be spherical. Hydrostatic equilibrium
Hydrostatic_equilibrium
Theory of gravity
formulate a classical field theory of gravitation which is similar to general relativity in weak-field conditions, but in which event horizons cannot appear
Yilmaz_theory_of_gravitation
Motion of a body subject only to gravity
body's weight being supported on a cushion of air. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in
Free_fall
French mathematician and physicist
Mauritania to confirm that light was deflected in line with the theory of general relativity, to improve on Arthur Eddington's 1919 experiment. These measurements
Cécile_DeWitt-Morette
Theoretical paradox resulting from time travel
validity of time travel to other factors in the interpretation of general relativity. An example of the causal loop (Stanislaw Lem charactized is as smaller
Temporal_paradox
GENERAL RELATIVITY
GENERAL RELATIVITY
Girl/Female
Christian, Gujarati, Indian
Lustrous; Wealthy; Diamond; Rain
Girl/Female
Australian, French, Italian
Italian Form of Genevieve; White Wave; Of the Race of Women; Fair and Yielding; Juniper Tree
Boy/Male
Hindu, Indian
Priceless
Girl/Female
Italian
meaning white wave, of the race of women, fair and yielding.
Girl/Female
Indian, Sanskrit
Brave
Girl/Female
American, Australian, Celtic, Christian, Dutch, French, German, Swiss
Tribe Woman; Of the Race of Women; Juniper Tree; White Wave; Woman; Race of Women; White Race
Boy/Male
Hindu
General nickname
Girl/Female
Biblical
A wall.
Boy/Male
American, British, English, French
Riverbank; Surnames Derived from Place Name Deverel
Girl/Female
Christian & English(British/American/Australian)
The Juniper
Boy/Male
English French
Surnames derived from place name Deverel.
Girl/Female
Assamese, Indian
General
Girl/Female
Shakespearean
Tragedy of King Lear' Daughter to King Lear.
Girl/Female
French American German
Of the race of women. Juniper.
Female
Italian
Variant spelling of Italian Ginevra, probably GENEVRA means "race of women."
Female
English
Pet form of French Geneviève, probably GENEVA means "race of women."
Boy/Male
Tamil
General nickname
Female
Welsh
Medieval Welsh name, probably GENERYS means "white lady."Â
Boy/Male
Indian
Lieutenant general
Boy/Male
Muslim
Lieutenant general
GENERAL RELATIVITY
GENERAL RELATIVITY
Boy/Male
Hindu, Indian
One who Knows Law and Divinity; Intelligent; Judicious; Understanding
Boy/Male
Hindu, Indian, Tamil
King
Biblical
a yearling bull
Girl/Female
Indian, Punjabi, Sikh
Remembering the Guru
Girl/Female
Hindu, Indian, Kannada, Tamil, Telugu, Traditional
Goddess Laxmi
Boy/Male
British, English
Pierce the Vale; From Percy
Boy/Male
Australian, Biblical, French, Hebrew
Praising; Confessing; United
Boy/Male
Christian & English(British/American/Australian)
Timekeeper
Boy/Male
German
Graceful; Bright or Shining Intellect; Bright Mind
Boy/Male
American, Indian, Sanskrit
The Lord of Heaven; Variant of Nakeisha
GENERAL RELATIVITY
GENERAL RELATIVITY
GENERAL RELATIVITY
GENERAL RELATIVITY
GENERAL RELATIVITY
a.
Not restrained or limited to a precise import; not specific; vague; indefinite; lax in signification; as, a loose and general expression.
a.
Comprehending many species or individuals; not special or particular; including all particulars; as, a general inference or conclusion.
a.
Relating to a genus or kind; pertaining to a whole class or order; as, a general law of animal or vegetable economy.
a.
Arising from sexual intercourse; as, a venereal disease; venereal virus or poison.
a.
Common to many, or the greatest number; widely spread; prevalent; extensive, though not universal; as, a general opinion; a general custom.
a.
acting as a generant.
a.
Adapted to the cure of venereal diseases; as, venereal medicines.
pl.
of Postmaster-general
n.
Gum senegal. See under Gum.
adv.
In a general way, or in general relation; in the main; upon the whole; comprehensively.
a.
Alt. of Generical
a.
The roll of the drum which calls the troops together; as, to beat the general.
a.
Having a relation to all; common to the whole; as, Adam, our general sire.
adv.
In general; commonly; extensively, though not universally; most frequently.
n.
The venereal disease; syphilis.
n. pl.
Generalities; general terms.
a.
Usual; common, on most occasions; as, his general habit or method.
v. i.
Anything which is neither animal nor vegetable, as in the most general classification of things into three kingdoms (animal, vegetable, and mineral).