Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-11-09
Phys.Rev.D77:064008,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, 6 figures; added new references, removed one figure, improved text, accepted for publication in PRD
Scientific paper
10.1103/PhysRevD.77.064008
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.
Boehmer Christian G.
Fodor Gyula
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