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arXiv · 1411.5486

Slowly rotating perfect fluids with a cosmological constant

Christian G. Boehmer·Matthew Wright
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Abstract

Hartle's slow rotation formalism is developed in the presence of a cosmological constant. We find the generalisation of the Hartle-Thorne vacuum metric, the Hartle-Thorne-(anti)-de Sitter metric, and find that it is always asymptotically (anti)-de Sitter. Next we consider Wahlquist's rotating perfect fluid interior solution in Hartle's formalism and discuss its matching to the Hartle-Thorne-(anti)-de Sitter metric. It is known that the Wahlquist solution cannot be matched to an asymptotically flat region and therefore does not provide a model of an isolated rotating body in this context. However, in the presence of a cosmological term, we find that it can be matched to an asymptotic (anti)-de Sitter space and we are able to interpret the Wahlquist solution as a model of an isolated rotating body, to second order in the angular velocity.

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Christian G. Boehmer, Matthew Wright. 2014-11-20. Slowly rotating perfect fluids with a cosmological constant. https://doi.org/10.1007/s10714-015-1982-5

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