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The 22 pages that link to Schwarzschild metric, each with the reason it gives.

• General relativityBroader topic: It models the exterior gravitational field of idealized stars and black holes.

• Black holeRelated: It supplied the first mathematical description associated with a black-hole horizon.

• Einstein field equationsBroader topic: It predicts the spacetime outside an idealized star or nonrotating black hole.

• Riemann curvature tensorBroader topic: Its curvature tensor describes the spacetime geometry around an idealized isolated mass.

• Gravitational redshiftBroader topic: Its time component gives the redshift between stationary observers outside such a mass.

• Gravitational time dilationRelated: Its time component gives the clock-rate variation outside an idealized spherical body.

• Kerr metricCompared with: Setting Kerr’s angular momentum to zero recovers this simpler metric.

• Schwarzschild radiusRelated: Its horizon occurs at the Schwarzschild radius.

• Cosmic censorship hypothesisRelated: Its black-hole geometry offers the simplest example of a singularity behind a horizon.

• Frame-draggingCompared with: Unlike the Kerr metric, it has no rotational frame-dragging.

• Spherical symmetryBroader topic: It is the canonical spherically symmetric gravitational field in vacuum.

• John Archibald WheelerRelated: Wheeler used this solution to analyze gravitational collapse and black-hole structure.

• Shapiro time delayRelated: It supplies the spacetime geometry used to derive the delay for an isolated mass.

• Karl SchwarzschildBroader topic: Schwarzschild derived it in 1916, establishing the first exact solution of Einstein’s equations.

• No-hair theoremBroader topic: It is the simplest member of the black-hole solution family.

• Penrose–Hawking singularity theoremsCompared with: Earlier singularity discussions often relied on special symmetric solutions, unlike Penrose’s general argument.

• History of general relativityBroader topic: Karl Schwarzschild found the first exact solution soon after the theory appeared.

• Black hole astronomyBroader topic: It supplies the simplest model for estimating a nonrotating black hole’s gravitational effects.

• Buchdahl's theoremCompared with: Its horizon marks the limiting scale, while Buchdahl’s theorem concerns material stars outside it.

• Geometrized unit systemBroader topic: Its compact form uses the mass parameter as a length in geometrized units.

• Mathematics of general relativityBroader topic: It models the exterior gravitational field of an idealized spherical body.

• White holeRelated: Its extended form provides the classic mathematical setting for a white hole.