Stellar Equilibrium in 2+1 Dimensions

Details Stellar Equilibrium in 2+1 Dimensions Stellar Equilibrium in 2+1 Dimensions

1994-11-12

arxiv.org/abs/gr-qc/9411032v1

Class.Quant.Grav.12:975-982,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, revtex, no figures

Scientific paper

10.1088/0264-9381/12/4/008

The hydrostatic equilibrium of a $2+1$ dimensional perfect fluid star in asymptotically anti-de Sitter space is discussed. The interior geometry matches the exterior $2+1$ black-hole solution. An upper mass limit is found, analogous to Buchdahl's theorem in 3+1, and the possibility of collapse is discussed. The case of a uniform matter density is solved exactly and a new interior solution is presented.

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