Quasinormal modes in the field of a dyon-like dilatonic black hole

A. N. Malybayev; K. A. Boshkayev; V. D. Ivashchuk

doi:10.1140/epjc/s10052-021-09252-z

paper

Quasinormal modes in the field of a dyon-like dilatonic black hole

arXiv:2103.10920 · doi:10.1140/epjc/s10052-021-09252-z

Abstract

Quasinormal modes of massless test scalar field in the background of gravitational field for a non-extremal dilatonic dyonic black hole are explored. The dyon-like black hole solution is considered in the gravitational $4 d$ model involving two scalar fields and two 2-forms. It is governed by two 2-dimensional dilatonic coupling vectors $λ_{i}$ obeying $λ_{i} (λ_{1} + λ_{2}) > 0$ , $i = 1, 2$ . The first law of black hole thermodynamics is given and the Smarr relation is verified. Quasinormal modes for a massless scalar (test) field in the eikonal approximation are obtained and analysed. These modes depend upon a dimensionless parameter $a$ ( $0 < a \leq 2$ ) which is a function of $λ_{i}$ . For limiting strong ( $a = + 0$ ) and weak ( $a = 2$ ) coupling cases, they coincide with the well-known results for the Schwarzschild and Reissner-Nordström solutions. It is shown that the Hod conjecture, connecting the damping rate and the Hawking temperature, is satisfied for $0 < a \leq 1$ and all allowed values of parameters.

arXiv comment13 pages, 5 (double) figures, LaTex. Subsection 3.3 is extended; two typos in formulas (22) and (30) are eliminated; 2 figures and 3 references are added; a paragraph in Sec. 1 and Remark on page 10 are added; several phrases are modified. To be published in EPJC

Quasinormal modes in the field of a dyon-like dilatonic black hole

Abstract

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