American Institute of Physics;New York: AIP Publishing
摘要:
摘要： It is known that 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. Some sufficient conditions for the existence of monotone-short solutions (with finite radii) of the equation are given in this article. Then we show that the interior metric can extend to the exterior Schwarzschild-de Sitter metric on the exterior vacuum region with twice continuous differentiability. In addition, we investigate the analytic property of the solutions at the vacuum boundary. Our result (Theorem 1) can be considered as the de Sitter version of the result by Rendall and Schmidt [Classical Quantum Gravity 8, 985-1000 (1991)]. Furthermore, one can see that there are different properties of the solutions with those of the Tolman-Oppenheimer-Volkoff equation (with zero cosmological constant) in certain situation. 出版者： New York: AIP Publishing 出版日期： 2016-09-01 出處： Journal of Mathematical Physics, 2016-09, Vol.57 (9), p.1 資源來源： AIP Journals (American Institute of Physics) 版權： Author(s) 版權： Copyright American Institute of Physics Sep 2016 版權： 2016 Author(s). Published by AIP Publishing. 識別號： ISSN: 0022-2488 識別號： EISSN: 1089-7658 識別號： DOI: 10.1063/1.4962724 識別號： CODEN: JMAPAQ
