Entropy of quantum-corrected black holes
Abstract
The approximate renormalized one-loop effective action of the quantized massive scalar, spinor and vector field in a large mass limit, i.e., the lowest order of the DeWitt-Schwinger expansion involves the coincidence limit of the Hadamard-DeWitt coefficient a3. Building on this and using Wald's approach we shall construct the general expression describing entropy of the spherically-symmetric static black hole being the solution of the semi-classical field equations. For the concrete case of the quantum-corrected Reissner-Nordstrom black hole this result coincides, as expected, with the entropy obtained by integration of the first law of black hole thermodynamics with a suitable choice of the integration constant. The case of the extremal quantum corrected black hole is briefly considered.
Keywords
Cite
@article{arxiv.gr-qc/0610020,
title = {Entropy of quantum-corrected black holes},
author = {Jerzy Matyjasek},
journal= {arXiv preprint arXiv:gr-qc/0610020},
year = {2008}
}