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The 49 pages that link to Einstein field equations, each with the reason it gives.

• Cosmological constantNarrower topic: The cosmological constant enters these equations as an additional geometric term.

• Cosmological principleNarrower topic: The cosmological equations arise by applying these gravitational laws under symmetry assumptions.

• Mercury's perihelion precessionNarrower topic: Einstein derived Mercury’s anomalous advance from his new gravitational field equations.

• Schwarzschild metricNarrower topic: The Schwarzschild metric solves these equations in the vacuum region outside the mass.

• Gravitational time dilationNarrower topic: They provide the framework in which gravitational fields determine spacetime geometry and clock rates.

• Kerr metricNarrower topic: The Kerr metric is an exact vacuum solution of these equations.

• Big CrunchNarrower topic: Cosmic expansion and contraction emerge from applying these equations to the universe as a whole.

• Shapiro time delayNarrower topic: They determine the gravitational geometry from which the signal delay follows.

• Karl SchwarzschildNarrower topic: Their vacuum form is the system Schwarzschild solved exactly.

• Gravitational singularityNarrower topic: Their classical solutions produce the spacetimes in which singularity behavior is analyzed.

• Kerr–Newman metricNarrower topic: Their gravitational part governs the geometry in the solution.

• Penrose–Hawking singularity theoremsNarrower topic: The singularity theorems derive their physical significance from applying geometric reasoning to solutions of these equations.

• Expansion of the UniverseNarrower topic: Cosmological expansion emerged from applying these equations to the universe as a whole.

• Buchdahl's theoremNarrower topic: They supply the gravitational field equations used in the theorem’s proof.

• Rotating black holeNarrower topic: The Kerr solution satisfies these equations in vacuum.

• White holeNarrower topic: White holes arise as mathematical possibilities within solutions to these equations.