Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-10-22
Phys.Rev. D55 (1997) 3642-3646
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, RevTeX, no figures
Scientific paper
10.1103/PhysRevD.55.3642
The first order corrections to the geometry of the (2+1)-dimensional black hole due to back-reaction of a massless conformal scalar field are computed. The renormalized stress energy tensor used as the source of Einstein equations is computed with the Green function for the black-hole background with transparent boundary conditions. This tensor has the same functional form as the one found in the nonperturbative case which can be exactly solved. Thus, a static, circularly symmetric and asymptotically anti-de Sitter black hole solution of the semiclassical equations is found. The corrections to the thermodynamic quantities are also computed.
Martinez Cristian
Zanelli Jorge
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