Stable central structures in topologically nontrivial Anti-de Sitter spacetimes

Details Stable central structures in topologically nontrivial Anti-de Sitter spacetimes Stable central structures in topologically nontrivial Anti-de Sitter spacetimes

1998-06-03

arxiv.org/abs/gr-qc/9806013v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LaTeX, 4 figures

Scientific paper

10.1103/PhysRevD.58.124021

We investigate stable central structures in multiply-connected, anti de Sitter spacetimes with spherical, planar and hyperbolic geometries. We obtain an exact solution for the pressure in terms of the radius when the density is constant. We find that, apart from the usual simply-connected spherically symmetric star with a well-behaved metric at $r=0$, the only solutions with non-singular pressure and density have a wormhole topology. However these wormhole solutions must be composed of matter which violates the weak energy condition. Admitting this type of matter, we obtain a structure which is maintained via a balance between its cohesive tension and its repulsive negative matter density. If the tension is insufficiently large, this structure can collapse to a black hole of negative mass.

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