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


Malybayev A.N. Boshkayev K.A. Ivashchuk V.D.
May 2021Springer Science and Business Media Deutschland GmbH

European Physical Journal C
2021#81Issue 5

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 λi obeying λi1+ λ2) > 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≤ 2) which is a function of λi. 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≤ 1 and all allowed values of parameters.



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Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Al-Farabi Ave., 71, Almaty, 050040, Kazakhstan
National Nanotechnology Laboratory of Open Type, Al-Farabi Kazakh National University, Al-Farabi Ave., 71, Almaty, 050040, Kazakhstan
Department of Engineering Physics, Satbayev University, 22 Satbayev St., Almaty, 050013, Kazakhstan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Tauelsizdik Ave 27/1-9, Nur-Sultan, 010000, Kazakhstan
Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya St., Moscow, 119361, Russian Federation
Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation

Department of Theoretical and Nuclear Physics
National Nanotechnology Laboratory of Open Type
Department of Engineering Physics
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Center for Gravitation and Fundamental Metrology
Institute of Gravitation and Cosmology

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