Eleven spherically symmetric constant density solutions with cosmological constant

Details Eleven spherically symmetric constant density solutions with cosmological constant Eleven spherically symmetric constant density solutions with cosmological constant

2003-12-04

arxiv.org/abs/gr-qc/0312027v3

Gen.Rel.Grav. 36 (2004) 1039-1054

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 5 figures, 1 table, revised bibliography, corrected eqn. (3.11), typos corrected, two new references

Scientific paper

10.1023/B:GERG.0000018088.69051.

Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on as an exterior field. Another solution describes a decreasing pressure model with exterior Schwarzschild-de Sitter spacetime having decreasing group orbits at the boundary. Two further types generalise the Einstein static universe. The other new solution is unphysical, it is an increasing pressure model with a geometric singularity.

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