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

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 $4d$ model involving two scalar fields and two 2-forms. It is governed by two 2-dimensional dilatonic coupling vectors ${\vec{\lambda }}_i$ obeying ${\vec{\lambda }}_i({\vec{\lambda }}_1+{\vec{\lambda }}_2)>0$, $i=1,2$. 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 $a$ ($0<a\le 2$) which is a function of ${\vec{\lambda }}_i$. 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 $0<a\le 1$ and all allowed values of parameters.

13 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

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• Violation of Hod's Conjecture and Probing it with Optical properties of a 5-D black hole in Einstein Gauss-Bonnet Bumblebee theory of gravity
• The investigation of low frequency dilaton generation
• Quasinormal Modes and Greybody Factors of Charged Symmergent Black Hole
• Dilaton photoproduction in a magnetic dipole field of pulsars and magnetars
• Photon spheres near black holes in a model with anisotropic fluid
• Photon Sphere for a Dilatonic Dyonic Black Hole in a Model with an Abelian Gauge Field and a Scalar Field
• Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes