p-Brane Black Holes as Stability Islands

Details p-Brane Black Holes as Stability Islands p-Brane Black Holes as Stability Islands

2000-02-23

arxiv.org/abs/hep-th/0002200v1

Nucl.Phys.B584:436-458,2000

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex2e

Scientific paper

10.1016/S0550-3213(00)00240-6

In multidimensional gravity with an arbitrary number of internal Ricci-flat factor spaces, interacting with electric and magnetic $p$-branes, spherically symmetric configurations are considered. It is shown that all single-brane black-hole solutions are stable under spherically symmetric perturbations, whereas similar solutions possessing naked singularities turn out to be catastrophically unstable. The black hole stability conclusion is extended to some classes of configurations with intersecting branes. These results do not depend on the particular composition of the $D$-dimensional space-time, on the number of dilatonic scalar fields $\phi^a$ and on the values of their coupling constants. Some examples from 11-dimensional supergravity are considered.

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