On the stability of black p-branes.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitation Theory: Black Holes

Scientific paper

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 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 φa and the values of their coupling constants λsa.

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