Slowly rotating perfect fluids with a cosmological constant
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.
Keywords
Cite
@article{arxiv.1411.5486,
title = {Slowly rotating perfect fluids with a cosmological constant},
author = {Christian G. Boehmer and Matthew Wright},
journal= {arXiv preprint arXiv:1411.5486},
year = {2015}
}
Comments
19 pages, 2 figures