The equations of Einstein refer to the set of equations developed by the famous physicist Albert Einstein as part of his general theory of relativity. The foundational equation is known as Einstein's field equations, which describe the fundamental interaction of matter and energy with the curvature of spacetime. This equation is a system of ten partial differential equations, involving the metric tensor that represents the curvature of spacetime, the energy-momentum tensor that describes the distribution of matter and energy, and the cosmological constant that accounts for the overall expansion or contraction of the universe. These equations have profound implications in understanding gravity, cosmology, and the behavior of massive objects such as black holes.

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