A rotating cylinder in an asymptotically locally anti-de Sitter background

Details A rotating cylinder in an asymptotically locally anti-de Sitter background A rotating cylinder in an asymptotically locally anti-de Sitter background

2010-03-18

arxiv.org/abs/1003.3623v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in Classical and Quantum Gravity

Scientific paper

A family of exact solutions is presented which represents a rigidly rotating cylinder of dust in a background with a negative cosmological constant. The interior of the infinite cylinder is described by the Godel solution. An exact solution for the exterior solution is found which depends both on the rotation of the interior and on its radius. For values of these parameters less than a certain limit, the exterior solution is shown to be locally isomorphic to the Linet-Tian solution. For values larger than another limit, it is shown that the exterior solution extends into a region which contains closed timelike curves. At large distances from the source, the space-time is shown to be asymptotic locally to anti-de Sitter space.

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