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Schwarzschild spacetime

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Summary

The unique spherically symmetric vacuum solution of the Einstein equation, with a black-hole exterior characterized by mass in its asymptotically flat form.

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Black holeSchwarzschild spacetime

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

The Schwarzschild black-hole spacetime is the static, spherically symmetric, asymptotically flat vacuum model of an uncharged nonrotating black hole.

How to interpret this relation type

The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.

Relation sources

Einstein field equationSchwarzschild spacetime

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

The Schwarzschild geometry solves the vacuum Einstein equation under spherical symmetry.

How to interpret this relation type

The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.

Relation sources

Lorentzian manifoldSchwarzschild spacetime

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

The Schwarzschild solution is a Lorentzian manifold with a metric satisfying the vacuum Einstein equation and spherical symmetry.

How to interpret this relation type

A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.

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