https://doi.org/10.1140/epjc/s10052-021-09836-9
Regular Article - Theoretical Physics
Stability and phase transition of rotating Kaluza–Klein black holes
1
Department of Physics, School of Science, Shiraz University, 71454, Shiraz, Iran
2
Biruni Observatory, School of Science, Shiraz University, 71454, Shiraz, Iran
3
Canadian Quantum Research Center, 204-3002 32 Ave, V1T 2L7, Vernon, BC, Canada
4
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, 310023, Hangzhou, China
5
School of Natural Sciences, National University of Sciences and Technology, H-12, 44000, Islamabad, Pakistan
6
Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apdo. Postal J-48, C.P. 72570, Puebla, Mexico
a
hendi@shirazu.ac.ir
c
mjamil@zjut.edu.cn
Received:
6
August
2021
Accepted:
16
November
2021
Published online:
17
December
2021
In this paper, we investigate the thermodynamics and phase transitions of a four-dimensional rotating Kaluza–Klein black hole solution in the presence of Maxwell electrodynamics. Calculating the conserved and thermodynamic quantities shows that the first law of thermodynamics is satisfied. To find the stable black hole’s criteria, we check the stability in the canonical ensemble by analyzing the behavior of the heat capacity. We also consider a massive scalar perturbation minimally coupled to the background geometry of the four-dimensional static Kaluza–Klein black hole and investigate the quasinormal modes by employing the Wentzel–Kramers–Brillouin (WKB) approximation. The anomalous decay rate of the quasinormal modes spectrum is investigated by using the sixth-order WKB formula and quasi-resonance modes of the black hole are studied with averaging of Padé approximations as well.
© The Author(s) 2022
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