Stellar Equilibrium in 2+1 Dimensions

Abstract

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.

11 pages, revtex, no figures

References in corpus (2)

• The Black Hole in Three Dimensional Space Time
• Gravitationally Collapsing Dust in $(2+1)$ Dimensions

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