Back reaction of a conformal field on a three-dimensional black hole
Abstract
The first order corrections to the geometry of the (2+1)-dimensional black hole due to the back reaction of a massless conformal scalar field are computed. The renormalized stress-energy tensor used as the source of Einstein equations is computed using 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.
- Publication:
-
Physical Review D
- Pub Date:
- March 1997
- DOI:
- 10.1103/PhysRevD.55.3642
- arXiv:
- arXiv:gr-qc/9610050
- Bibcode:
- 1997PhRvD..55.3642M
- Keywords:
-
- 04.70.Dy;
- 04.20.Cv;
- 04.60.Kz;
- Quantum aspects of black holes evaporation thermodynamics;
- Fundamental problems and general formalism;
- Lower dimensional models;
- minisuperspace models;
- General Relativity and Quantum Cosmology
- E-Print:
- 12 pages, RevTeX, no figures