Gravitational instability of static spherically symmetric EinsteinGaussBonnet black holes in five and six dimensions
Abstract
Five and six dimensional static, spherically symmetric, asymptotically Euclidean black holes, are unstable under gravitational perturbations if their mass is lower than a critical value set by the string tension. The instability is due to the GaussBonnet correction to Einstein’s equations, and was found in a previous work on linear stability of EinsteinGaussBonnet black holes with constant curvature horizons in arbitrary dimensions. We study the unstable cases and calculate the values of the critical masses. The results are relevant to the issue of black hole production in high energy collisions.
 Publication:

Physical Review D
 Pub Date:
 July 2007
 DOI:
 10.1103/PhysRevD.76.024012
 arXiv:
 arXiv:hepth/0703074
 Bibcode:
 2007PhRvD..76b4012B
 Keywords:

 04.50.+h;
 04.20.Jb;
 04.30.w;
 04.70.s;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Exact solutions;
 Gravitational waves: theory;
 Physics of black holes;
 High Energy Physics  Theory
 EPrint:
 9 pages, 2 figures