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Schwarzschild: an exact interior solution for a uniform-density fluid sphere

Contribution grade

Physics · Physics

Reference score180,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Schwarzschild derives the exact static spherical interior geometry and pressure of an incompressible homogeneous fluid, matches it to exterior vacuum, and identifies the finite-positive-central-pressure compactness limit of this model.

Scientific scope

Schwarzschild derives the exact static spherical interior geometry and pressure of an incompressible homogeneous fluid, matches it to exterior vacuum, and identifies the finite-positive-central-pressure compactness limit of this model. The interior model assumes a static spherical fluid with the stated constant-density equation/pressure construction and matching to an exterior. The pressure and admissible size/compactness conditions matter. It is not an arbitrary realistic stellar equation of state or universal collapse bound. Later general bounds and neutron-star models are separate.

Evidence

Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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