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The Einstein field equations comprise the set of 10 equations in Albert Einstein's general theory of relativity that describe the fundamental interaction of gravitation as a result of spacetime being curved by mass and energy. First published by Einstein in 1915 as a tensor equation, the EFE relate local spacetime curvature with the local energy and momentum within that spacetime.

### Mathematical form

### The cosmological constant

### Features

### Vacuum field equations

### Einstein–Maxwell equations

### Solutions

### The linearized EFE

### Polynomial form