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...

Solutions of the Einstein field equations are metrics of spacetimes that result from solving the Einstein field equations (EFE) of general relativity....

pseudo-Riemannian manifold. In general relativity, it occurs in the Einstein field equations for gravitation that describe spacetime curvature in a manner that...

gravitational field is weak. The usage of linearized gravity is integral to the study of gravitational waves and weak-field gravitational lensing. The Einstein field...

In general relativity, an exact solution is a solution of the Einstein field equations whose derivation does not invoke simplifying assumptions, though...

substitute them into Einstein's field equations and the resulting equations are described below. There are two independent Friedmann equations for modelling...

the most general spherically symmetric vacuum solution of the Einstein field equations. A Schwarzschild black hole or static black hole is a black hole...

Usually, field equations are postulated (like the Einstein field equations and the Schrödinger equation, which underlies all quantum field equations) or obtained...

The Einstein–Hilbert action in general relativity is the action that yields the Einstein field equations through the stationary-action principle. With...

gravitation whose defining feature is its use of the Einstein field equations. The solutions of the field equations are metric tensors which define the topology...

Exact Solutions to Einstein's Field Equations. Cambridge University Press. p. 1. ISBN 978-0-521-46136-8. "Einstein Field Equations (General Relativity)"...

Although the metric proposed by Alcubierre is consistent with the Einstein field equations, construction of such a drive is not necessarily possible. The...

additional set of equations for spin and torsion, as well as the addition of extra spin-related terms in the Einstein field equations themselves. The theory...

within r {\textstyle r} , is discussed below. The equation is derived by solving the Einstein equations for a general time-invariant, spherically symmetric...

relativity, the Oppenheimer–Snyder model is a solution to the Einstein field equations based on the Schwarzschild metric describing the collapse of an...

points in spacetime, and is based on a special solution of the Einstein field equations. A wormhole can be visualized as a tunnel with two ends at separate...

A classical field theory is a physical theory that predicts how one or more fields in physics interact with matter through field equations, without considering...

addition to a black hole region in the future, such a solution of the Einstein field equations has a white hole region in its past. This region does not exist...

metric tensor g μ ν {\displaystyle g_{\mu \nu }} as the field, we obtain the Einstein field equations R μ ν − 1 2 R g μ ν + g μ ν Λ = 8 π G c 4 T μ ν . {\displaystyle...

is determined by the Einstein field equations themselves, not by a new law. Accordingly, Einstein proposed that the field equations would determine the...

non-gravitational force fields. This density and flux of energy and momentum are the sources of the gravitational field in the Einstein field equations of general...

ləˈmɛtrə ... /) is a metric based on an exact solution of the Einstein field equations of general relativity. The metric describes a homogeneous, isotropic...

The Kerr metric is an exact solution of the Einstein field equations of general relativity; these equations are highly non-linear, which makes exact solutions...

solving the Einstein field equations G=κT,{\displaystyle \mathbf {G} =\kappa \mathbf {T} ,} where T is the stress–energy tensor, G is the Einstein tensor,...

differential equation given initial conditions. In the context of general relativity, it means the problem of finding solutions to Einstein's field equations - a...

astronomer. Schwarzschild provided the first exact solution to the Einstein field equations of general relativity, for the limited case of a single spherical...

equation. There are relatively few known exact solutions to the Einstein field equations. In order to find other solutions, there is an active field of...

equations and an approximation, valid under certain conditions, to the Einstein field equations for general relativity. Gravitomagnetism is a widely used term...

after Albert Einstein because this condition is equivalent to saying that the metric is a solution of the vacuum Einstein field equations (with cosmological...

Albert Einstein's discovery of the gravitational field equations of general relativity and David Hilbert's almost simultaneous derivation of the theory...