The Lemaitre-Schwarzschild Problem Revisited

Details The Lemaitre-Schwarzschild Problem Revisited The Lemaitre-Schwarzschild Problem Revisited

2001-09-28

arxiv.org/abs/gr-qc/0109097v3

Gen.Rel.Grav. 34 (2002) 1411-1422

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Final version as accepted by GR&G (to appear in vol. 34, september 2002)

Scientific paper

The Lemaitre and Schwarzschild analytical solutions for a relativistic spherical body of constant density are linked together through the use of the Weyl quadratic invariant. The critical radius for gravitational collapse of an incompressible fluid is shown to vary continuously from 9/8 of the Schwarzschild radius to the Schwarzschild radius itself while the internal pressures become locally anisotropic.

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