Numerical relativity solves Einstein's equations as an initial-value problem, usually after decomposing spacetime into spatial hypersurfaces and evolution in time.
Numerical relativity is a subfield of computational physics that focuses on solving the equations of general relativity using numerical methods. General relativity, formulated by Albert Einstein, describes the gravitational interaction as a curvature of spacetime caused by mass and energy. The equations governing this curvature, known as the Einstein field equations, are highly complex and often impossible to solve analytically in realistic scenarios, especially in dynamic situations like the collision of black holes or neutron stars.
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