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 of matter within it.

In case you’re interested in seeing specifically where the Einstein field equations come from, check out this article, where we derive the field equations step by-step.

Feb 26, 2024 · The Einstein Field Equations (EFE) are a set of ten interrelated differential equations that form the core of Einstein's general theory of relativity. These equations describe how matter and …

The Einstein field equations are, in fact, a set of differential equations ---written very compactly---that are posited as true at every point in spacetime. Their solutions give the geometry of spacetime and this …

This page provides a high-level overview of some of the concepts in General Relativity. For more detailed treatments, see the references at the end of this page.

Some of these simpler equations are appropriate to the level of this book, which means you can learn how to do some general relativity. They will be derived with minimal to no proof, however.

The equations must be wrong! Although the theory and the equations have passed every test, they are intrinsically incompatible with quantum theory (which has also passed every experimental test).