On the Tolman-Oppenheimer-Volkoff-de Sitter equation
Analysis of PDEs
2016-03-09 v9 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1508.06506,
title = {On the Tolman-Oppenheimer-Volkoff-de Sitter equation},
author = {Tetu Makino},
journal= {arXiv preprint arXiv:1508.06506},
year = {2016}
}
Comments
Typos corrected