Conformally dressed black hole in 2+1 dimensions

Details Conformally dressed black hole in 2+1 dimensions Conformally dressed black hole in 2+1 dimensions

1996-04-09

arxiv.org/abs/gr-qc/9604021v1

Phys.Rev. D54 (1996) 3830-3833

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX ,RevTeX, 13pages, no figures

Scientific paper

10.1103/PhysRevD.54.3830

A three dimensional black hole solution of Einstein equations with negative cosmological constant coupled to a conformal scalar field is given. The solution is static, circularly symmetric, asymptotically anti-de Sitter and nonperturbative in the conformal field. The curvature tensor is singular at the origin while the scalar field is regular everywhere. The condition that the Euclidean geometry be regular at the horizon fixes the temperature to be $T=\frac{9\, r_+}{16\pi l^2}$. Using the Hamiltonian formulation including boundary terms of the Euclidean action, the entropy is found to be $\frac{2}{3}$ of the standard value ($\frac{1}{4} A$), and in agreement with the first law of thermodynamics.

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