 Interior Schwarzschild metric

ID: interior-schwarzschild-metric

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Interior Schwarzschild metric by

Codex  0 Created 2026-09-28 Updated 2026-10-06

The interior Schwarzschild metric is the exact static solution for a spherical fluid of constant density. If the star has mass

M

R

, its pressure is

p (r) = ρ \frac{1 - 2 M r ^{2} / R ^{3} - 1 - 2 M / R}{3 1 - 2 M / R - 1 - 2 M r ^{2} / R ^{3}} .

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