Regular Article - Theoretical Physics
Quasinormal modes in the field of a dyon-like dilatonic black hole
Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Al-Farabi Ave., 71, 050040, Almaty, Kazakhstan
2 National Nanotechnology Laboratory of Open Type, Al-Farabi Kazakh National University, Al-Farabi Ave., 71, 050040, Almaty, Kazakhstan
3 Department of Engineering Physics, Satbayev University, 22 Satbayev St., 050013, Almaty, Kazakhstan
4 Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Tauelsizdik Ave 27/1-9, 010000, Nur-Sultan, Kazakhstan
5 Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya St., 119361, Moscow, Russian Federation
6 Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., 117198, Moscow, Russian Federation
Accepted: 15 May 2021
Published online: 29 May 2021
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 obeying , . 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 () which is a function of . For limiting strong () and weak () 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 and all allowed values of parameters.
© The Author(s) 2021
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