Exact solution for the interior of a black hole

dc.creatorNieuwenhuizen, Theo M.
dc.date2008-05-27
dc.date.accessioned2026-07-07T09:41:08Z
dc.date.available2026-07-07T09:41:08Z
dc.descriptionWithin the Relativistic Theory of Gravitation it is shown that the equation of state $p=ρ$ holds near the center of a black hole. For the stiff equation of state $p=ρ-ρ_c$ the interior metric is solved exactly. It is matched with the Schwarzschild metric, which is deformed in a narrow range beyond the horizon. The solution is regular everywhere, with a specific shape at the origin. The gravitational redshift at the horizon remains finite but is large, $z\sim 10^{23}$$M_\odot/M$. Time keeps its standard role also in the interior. The energy of the Schwarzschild metric, shown to be minus infinity in the General Theory of Relativity, is regularized in this setup, resulting in $E=Mc^2$.
dc.description12 pages newFNLstyle. 4 figures
dc.identifierhttps://arxiv.org/abs/0805.4169
dc.identifierhttp://arxiv.org/abs/0805.4169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161724
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleExact solution for the interior of a black hole
dc.typetext

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