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Stellar Equilibrium in 2+1 Dimensions

Norman Cruz·Jorge Zanelli
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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.

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Norman Cruz, Jorge Zanelli. 1994-11-12. Stellar Equilibrium in 2+1 Dimensions. https://doi.org/10.1088/0264-9381%2F12%2F4%2F008

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