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The Einstein field equations (EFE) may be written in the form: [5] [1] + = EFE on a wall in Leiden, Netherlands. where is the Einstein tensor, is the metric tensor, is the stress–energy tensor, is the cosmological constant and is the Einstein gravitational constant.
The Einstein–Infeld–Hoffmann equations of motion, jointly derived by Albert Einstein, Leopold Infeld and Banesh Hoffmann, are the differential equations describing the approximate dynamics of a system of point-like masses due to their mutual gravitational interactions, including general relativistic effects.
The initial value formulation of general relativity is a reformulation of Albert Einstein's theory of general relativity that describes a universe evolving over time.. Each solution of the Einstein field equations encompasses the whole history of a universe – it is not just some snapshot of how things are, but a whole spacetime: a statement encompassing the state of matter and geometry ...
Download as PDF; Printable version; In other projects ... general relativity is a theory of gravitation whose defining feature is its use of the Einstein field equations.
Co-authored with N. Rosen. This important paper established that gravitational waves are possible despite the nonlinear nature of the Einstein field equations. Einstein and Rosen originally reached the opposite conclusion. Schilpp 283; Weil *202: 1938: Gravitational equations and the problems of motion: Annals of Mathematics (ser. 2), 39, 65–100
Numerical relativity is the sub-field of general relativity which seeks to solve Einstein's equations through the use of numerical methods. Finite difference, finite element and pseudo-spectral methods are used to approximate the solution to the partial differential equations which arise. Novel techniques developed by numerical relativity ...
Hendrik Lorentz was a major influence on Einstein's theory of special relativity. Lorentz laid the fundamentals for the work by Einstein and the theory was originally called the Lorentz-Einstein theory. After 1905 Lorentz wrote several papers on what he called "Einstein's principle of relativity". Einstein, Albert (1905-06-30).
Next, notice that only 10 of the original 14 equations are independent, because the continuity equation ; = is a consequence of Einstein's equations. This reflects the fact that the system is gauge invariant (in general, absent some symmetry, any choice of a curvilinear coordinate net on the same system would correspond to a numerically ...