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General Relativity and Quantum Cosmology

arXiv:0711.1450 (gr-qc)
[Submitted on 9 Nov 2007 (v1), last revised 4 Feb 2008 (this version, v2)]

Title:Perfect fluid spheres with cosmological constant

Authors:Christian G. Boehmer, Gyula Fodor
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Abstract: We examine static perfect fluid spheres in the presence of a cosmological constant. New exact matter solutions are discussed which require the Nariai metric in the vacuum region. We generalize the Einstein static universe such that neither its energy density nor its pressure is constant throughout the spacetime. Using analytical techniques we derive conditions depending on the equation of state to locate the vanishing pressure surface. This surface can in general be located in regions with decreasing area group orbits. We use numerical methods to integrate the field equations for realistic equations of state and find consistent results.
Comments: 15 pages, 6 figures; added new references, removed one figure, improved text, accepted for publication in PRD
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.1450 [gr-qc]
  (or arXiv:0711.1450v2 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.1450
Journal reference: Phys.Rev.D77:064008,2008
Related DOI: https://doi.org/10.1103/PhysRevD.77.064008

Submission history

From: Christian Boehmer [view email]
[v1] Fri, 9 Nov 2007 12:25:20 UTC (95 KB)
[v2] Mon, 4 Feb 2008 20:13:10 UTC (86 KB)
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