Year: 1994
Type: article
Abstract: 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.
Source: Astronomische Nachrichten
Authors: U. Bleyer, V. N. Melnikov, K. A. Bronnikov, S. B. Fadeev
Institution: Research Center for Surface and Vacuum (Russia)
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2010293149