The Einstein field equations (EFE) or Einstein's equations are a set of 10 equations in Albert Einstein's general theory of relativity which describe the fundamental interaction of gravitation as a result of space time being curved by matter and energy. First published by Einstein in 1915 as a tensor equation, the EFE equate local space time curvature (expressed by the Einstein tensor) with the local energy and momentum within that space time (expressed by the stress–energy tensor).

*This section contains words and symbol which need high level knowledge of physics to understand.*

Tensors consist of more than the 3 element of dimensions that the normal vector represent. Hence a Sphere volume dimension can be described by a Tensor instead of a vector;

Space can be represented in multiple dimensions = The geometry of such representation is called a manifold which is an imaginary volume.

Space can be represented in multiple dimensions = The geometry of such representation is called a manifold which is an imaginary volume.

The condensed form of Einstein Field equation is as follows :

where G

_{uv}is the space curvature Tensor measured in unitsd of per meters

T

_{uv}is the Stress energy Tensor measured in Kg/sec

^{2}, g

_{uv }is the metric of space-time (how we measure distances in space-time),

*G is the gravitational constant having a value of G = 6.673 × 10*

^{-11}m

^{3}/kg•s

^{2}, c is the speed of light, i.e 2.99792458 x 10

^{8}m/s.

Derivation of such equation is beyond the scope of the website.

<- Previous Chapter Next Chapter ->