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A point mass in an isotropic universe: existence, uniqueness, and basic properties

Nolan, Brien C. (1998) A point mass in an isotropic universe: existence, uniqueness, and basic properties. Physical Review D, 58 (6). 064006-1. ISSN 0556-2821

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Abstract

Criteria which a space-time must satisfy to represent a point mass embedded in an open Robertson-Walker (RW) universe are given. It is shown that McVittie’s solution in the case k=0 satisfies these criteria, but does not in the case k=-1. The existence of a solution for the case k=-1 is proven and its representation in terms of an elliptic integral is given. The following properties of this and McVittie’s k=0 solution are studied; uniqueness, the behavior at future null infinity, the recovery of the RW and Schwarzschild limits, the compliance with energy conditions, and the occurrence of singularities. The existence of solutions representing more general spherical objects embedded in a RW universe is also proven.

Item Type:Article (Published)
Refereed:Yes
Uncontrolled Keywords:general relativity; quantum cosmology;
Subjects:Mathematics
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Science and Health > School of Mathematical Sciences
Publisher:The American Physical Society
Official URL:http://dx.doi.org/10.1103/PhysRevD.58.064006
Copyright Information:© 1998 The American Physical Society
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
ID Code:15650
Deposited On:10 Aug 2010 11:35 by DORAS Administrator. Last Modified 10 Aug 2010 11:35

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