The gravitational collapse of a dust ball - General Relativity and Quantum CosmologyReportar como inadecuado




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Abstract: It is shown that the description of collapse given by the classic model ofOppenheimer and Snyder fails to satisfy a crucial matching condition at thesurface of the ball. After correcting the model so that the interior andexterior metrics match correctly, it is established that the contractionprocess stops at the Schwarzschild radius, that there is an accumulation ofparticles at the surface of the ball, and that in the limit of infinite timelapse the density of particles at the surface becomes infinite. A black holecannot form. This result confirms the judgements of both Einstein and Eddingtonabout gravitational collapse when the collapse velocity approaches that oflight.



Autor: Trevor W. Marshall

Fuente: https://arxiv.org/







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