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arXiv · 1508.06506

On the Tolman-Oppenheimer-Volkoff-de Sitter equation

Tetu Makino
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Abstract

Spherically symmetric static solutions of the Einstein equations with a positive cosmological constant for the energy-momentum tensor of a barotropic perfect fluid are governed by the Tolman-Oppenheimer-Volkoff-de Sitter equation. Existence and regularity at the vacuum boundary of the solutions with finite radii are investigated. The interior metric of the solution is connected with the Schwarzschild-de Sitter metric on the vacuum region.

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Tetu Makino. 2016-03-08. On the Tolman-Oppenheimer-Volkoff-de Sitter equation. https://arxiv.org/abs/1508.06506

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