On the Tolman-Oppenheimer-Volkoff-de Sitter equation
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2015
- DOI:
- 10.48550/arXiv.1508.06506
- arXiv:
- arXiv:1508.06506
- Bibcode:
- 2015arXiv150806506M
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematics - Classical Analysis and ODEs
- E-Print:
- Typos corrected