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Black hole stability in multidimensional gravity theory
Author(s) -
Bleyer U.,
Melnikov V. N.,
Bronnikov K. A.,
Fadeev S. B.
Publication year - 1994
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2103150602
Subject(s) - physics , black hole (networking) , naked singularity , dilaton , gravitational singularity , coupling constant , classical mechanics , mathematical physics , circular symmetry , scalar (mathematics) , charged black hole , black brane , scalar field , cosmological constant , symmetry (geometry) , einstein , gravitation , extremal black hole , quantum mechanics , schwarzschild radius , geometry , mathematics , computer network , routing protocol , routing (electronic design automation) , computer science , link state routing protocol , entropy (arrow of time)
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.