The Lemâıtre - Schwarzschild Problem Revisited
نویسندگان
چکیده
The Lemaˆıtre 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 quasi-static gravita-tional collapse 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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ar X iv : g r - qc / 0 10 90 97 v 1 2 8 Se p 20 01 The Lemâıtre - Schwarzschild Problem Revisited
We present here an analysis based on the Weyl tensor of the Lemaˆıtre-Schwarzschild problem of finding the equilibrium conditions of an anisotrop-ically sustained spherical body (with thus different radial and tangential pressure) under its relativistic gravitational field. An overview of the problem is presented as well as a justification of the unbounded surface redshift when the radial press...
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