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Eleven spherically symmetric constant density solutions with cosmological constant

Christian G. Boehmer
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Abstract

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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Christian G. Boehmer. 2006-02-04. Eleven spherically symmetric constant density solutions with cosmological constant. https://doi.org/10.1023/b%3Agerg.0000018088.69051.3b

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