Linked from

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

• General relativityBroader topic: They state the central relation between geometry and physical sources in general relativity.

• Covariant derivativeBroader topic: Their geometric terms are built from curvature defined through covariant differentiation.

• Christoffel symbolsBroader topic: Their curvature terms are often evaluated from Christoffel symbols in a chosen chart.

• Alexander FriedmannBroader topic: Friedmann solved these equations under assumptions suited to cosmology.

• GravitationBroader topic: They express how gravitation responds to its sources in general relativity.

• Classical field theoryBroader topic: They govern the evolution and sourcing of the gravitational field in general relativity.

• Tullio Levi-CivitaBroader topic: Levi-Civita clarified the tensor mathematics behind their geometric side.

• General covarianceBroader topic: Their tensor form is unchanged by arbitrary smooth coordinate transformations.

• Gregorio Ricci-CurbastroBroader topic: They demonstrate the physical use of the mathematical framework Ricci-Curbastro helped establish.

• Marcel GrossmannBroader topic: The search for suitable curvature equations was a central mathematical challenge in Einstein and Grossmann’s work.

• History of general relativityBroader topic: Einstein’s 1915 field equations are the central mathematical statement of the theory.

• Mathematics of general relativityBroader topic: They are the central equations connecting geometry with gravitating matter.

• Principle of covarianceBroader topic: Their tensor form exemplifies coordinate covariance in a physical theory.

• RelativityBroader topic: They specify how matter and energy determine gravitational geometry.

• Ricci calculusBroader topic: They combine the Ricci tensor, scalar curvature, metric, and stress-energy tensor.