The Lemaitre-Schwarzschild Problem Revisited

Abstract

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.

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

References in corpus (2)

• Spherical gravitational collapse: tangential pressure and related equations of state
• Anisotropic Stars: Exact Solutions

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