Einstein’s vacuum equations, also known as Einstein’s eld equations for vacuum spacetimes, are a fundamental component of Einstein’s general theory of relativity. These equations describe the behavior of the geometry of spacetime in the absence of matter and energy. In general relativity, the presence of matter and energy curves spacetime, creating what we perceive as gravitational forces. However, in the absence of matter and energy, the spacetime is said to be a vacuum. Einstein’s vacuum equations describe how spacetime curves in the absence of any sources.
