Linked from

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

• Metric tensorRelated: They determine how the spacetime metric responds to physical sources.

• Friedmann equationsRelated: Imposing cosmic homogeneity and isotropy on these equations yields the Friedmann equations.

• SpacetimeRelated: They express how matter and energy shape the geometry of spacetime.

• Riemann curvature tensorRelated: Their geometric side is built from contractions of the Riemann tensor.

• Gravitational constantRelated: G sets the coupling between matter-energy and spacetime curvature.

• Cosmological constant problemRelated: They show how vacuum energy can contribute to cosmic curvature.

• Stress–energy tensorRelated: The stress–energy tensor is the source term on their matter side.

• Hyperbolic partial differential equationRelated: After gauge fixing, their evolution formulations have hyperbolic structure.

• Mach's principleRelated: They connect matter and geometry, but do not make every solution's inertia depend on all cosmic matter.

• Bianchi identitiesRelated: Their geometric side has zero divergence, requiring compatible conservation of the matter side.

• Kaluza–Klein theoryRelated: Kaluza applied their higher-dimensional form to obtain the gravitational and electromagnetic equations.

• Vacuum energyRelated: They connect a uniform vacuum energy density to the curvature and expansion of spacetime.

• Static universeRelated: Einstein used these equations to test whether a matter-filled universe could remain unchanging.

• De Sitter universeRelated: They admit De Sitter spacetime when the cosmological constant is positive and matter is absent.

• Curved spacetimeRelated: They state mathematically how matter and energy shape the curvature.

• Positive energy theoremRelated: They connect the matter conditions assumed by the theorem to spacetime geometry.

• Geometrized unit systemRelated: Setting constants to one removes conversion factors from their standard form.