CONFORMALLY DRESSED BLACK-HOLE IN 2+1 DIMENSIONS

Citation
C. Martinez et J. Zanelli, CONFORMALLY DRESSED BLACK-HOLE IN 2+1 DIMENSIONS, Physical review. D. Particles and fields, 54(6), 1996, pp. 3830-3833
Citations number
31
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
54
Issue
6
Year of publication
1996
Pages
3830 - 3833
Database
ISI
SICI code
0556-2821(1996)54:6<3830:CDBI2D>2.0.ZU;2-2
Abstract
A three-dimensional black hole solution of Einstein equations with a n egative cosmological constant coupled to a conformal scalar field is g iven. The solution is static, circularly symmetric, asymptotically ant i-de Sitter-type and nonperturbative in the conformal field. The curva ture tensor is singular at the origin while the scalar field is regula r everywhere. The condition that the Euclidean geometry be regular at the horizon fixes the temperature to be T=9 r(+)/16 pi l(2). Using the Hamiltonian formulation including boundary terms of the Euclidean act ion, the entropy is found to be 2/3 of the standard value (1/4A), and in agreement with the first law of thermodynamics.