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The Lemaître-Schwarzschild Problem Revisited |
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| Authors: | A. Füzfa J.-M. Gerard D. Lambert |
| Affiliation: | (1) Unité de Systèmes Dynamiques, Facultés Universitaires, N.-D. de la Paix, B-5000 Namur, Belgium;(2) Institut de Physique Théorique, Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium;(3) Faculté des Sciences, Facultés Universitaires, N.-D. de la Paix, B-5000 Namur, Belgium |
| Abstract: | The Lemaître 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. |
| Keywords: | anisotropic pressures gravitational collapse Weyl tensor |
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