НИЗКОЛЕЖАЩИЕ ЧАСТОТЫ КВАЗИНОРМАЛЬНЫХ МОД ЧЕРНОЙ ДЫРЫ ТАУБ-НУТ

Abstract

Quasi-normal modes of black holes determine the damping of disturbances at intermediate times and are important in studying the dynamics of black holes and external fields around them. Currently, interest in quasi-normal modes is due to three of their features. The first one is connected with the possibility of observing quasi-normal modes and obtaining a "trace" of a black hole with the help of new-generation gravitational antennas under construction. Recently, collaborations between the Laser Interferometric Gravitational Wave Observatory (LIGO) and the French-Italian gravitational wave detector located at the European Gravitational Observatory (VIRGO) reported the observation of a gravitational wave signal corresponding to the spiral and merging of two black holes, resulting in the formation of a single black hole. It was shown that the observations agree with Einstein's theory of gravity with a high accuracy, limited mainly by a statistical error. The second concerns the anti-de Sitter / Conformal field theory correspondence, which implies that a large black hole in anti-de Sitter space corresponds roughly to thermal states in Conformal field theory. Thus, the damping of black hole perturbations can be associated with the return to thermal equilibrium of the perturbed state in the Conformal field theory. Note that in anti-de Sitter space, the quasi-normal modes of black holes control the decay of the field at later times, since there are no power-law tails and the decay is always exponential. The third feature is associated with the possible connection of quasinormal modes of black holes in some space-time geometries with the Choptyuk scaling. This paper investigates the low-lying frequencies of the quasi-normal modes of the Taub-NUT (Newman-Unti-Tamburino) black hole for scalar, electromagnetic, and Dirac perturbations using the Wenzel, Kramers, and Brillouin (WKB) approximation of the third order. The influence of the NUT metric parameter on the considered types of frequencies of quasi-normal modes is shown.