Stability of a dilatonic black hole with a Gauss-Bonnet term
- 31 August 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 58 (8), 084004
- https://doi.org/10.1103/physrevd.58.084004
Abstract
We investigate the stability of black hole solutions in an effective theory derived from a superstring model, which includes a dilaton field and the Gauss-Bonnet term. The critical solution, below which mass no static solution exists, divides a family of solutions in the mass-entropy diagram into two. The upper branch approaches the Schwarzschild solution in the large mass limit, while the lower branch ends up with a singular solution which has a naked singularity. In order to investigate the stability of black hole solutions, we adopt two methods. The first one is catastrophe theory, with which we discuss the stability of non-Abelian black holes in general relativity. The present system is classified as a fold catastrophe, which is the simplest case. Following catastrophe theory, if we regard entropy and mass as the potential and the control parameter, respectively, we find the lower branch is more unstable than the upper branch. To confirm this, we study the second method, which is a linear perturbation analysis. We find an unstable mode only for the solutions in the lower branch. Hence, our investigation presents one example that catastrophe theory is also applicable for a generalized theory of gravity.Keywords
This publication has 32 references indexed in Scilit:
- Black hole solutions with dilatonic hair in higher curvature gravityPhysical Review D, 1997
- Dilatonic black holes with a Gauss-Bonnet termPhysical Review D, 1997
- Dilatonic black holes in higher curvature string gravityPhysical Review D, 1996
- Dyonic black holes in effective string theoryPhysical Review D, 1995
- Physical properties of four-dimensional superstring gravity black hole solutionsNuclear Physics B, 1993
- Charged black holes in effective string theoryPhysical Review D, 1993
- Classical hair for Kerr-Newman black holes in string gravityPhysics Letters B, 1992
- Charged black holes in string theoryPhysical Review D, 1991
- Black holes and membranes in higher-dimensional theories with dilaton fieldsNuclear Physics B, 1988
- Effective gravity theories with dilationsPhysics Letters B, 1986