Black hole stability in multidimensional gravity theory

Autor:	U. Bleyer, Kirill A. Bronnikov, S. B. Fadeev, V. N. Mel'nikov
Rok vydání:	1994
Předmět:	Physics Coupling constant Black hole Gravitation General Relativity and Quantum Cosmology Field (physics) Space and Planetary Science Spherical coordinate system Naked singularity Astronomy and Astrophysics Dilaton Circular symmetry Mathematical physics
Zdroj:	Astronomische Nachrichten. 315:399-408
ISSN:	1521-3994 0004-6337
DOI:	10.1002/asna.2103150602
Popis:	Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in D-dimensional gravity with a chain of n Ricci-flat internal spaces are considered. Their properties and special cases are discussed. A family of multidimensional dilatonic black-hole solutions is singled out, depending on two integration constants (related to black hole mass and charge) and three free parameters of the theory (the coordinate sphere, internal space dimensions, and the coupling constant). The behaviour of the solutions under small perturbations preserving spherical symmetry, is studied. It is shown that the black-hole solutions without a dilaton field are stable, while other solutions, possessing naked singularities, are catastrophically unstable.
Databáze:	OpenAIRE
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