https://doi.org/10.1140/epjc/s10052-022-10290-4
Regular Article - Theoretical Physics
Five-dimensional Yang–Mills black holes in massive gravity’s rainbow
1
School of Physics, Damghan University, 3671641167, Damghan, Iran
2
Department of Physics, School of Science, Shiraz University, 71454, Shiraz, Iran
3
Biruni Observatory, School of Science, Shiraz University, 71454, Shiraz, Iran
4
Canadian Quantum Research Center, 204-3002 32 Ave, V1T 2L7, Vernon, BC, Canada
5
Department of Science and Technology, Larbi Tebessi University, 12000, Tebessa, Algeria
6
Department of Physics and Astronomy, University of Lethbridge, T1K 3M4, Lethbridge, AB, Canada
7
Irving K. Barber School of Arts and Sciences, University of British Columbia, V1V 1V7, Kelowna, BC, Canada
Received:
12
January
2022
Accepted:
3
April
2022
Published online:
21
April
2022
In this paper, we will analyze a five-dimensional Yang–Mills black hole solution in massive gravity’s rainbow. We will also investigate the flow of such a solution with scale. Then, we will discuss the scale dependence of the thermodynamics for this black hole. In addition, we study the criticality in the extended phase space by treating the cosmological constant as the thermodynamics pressure of this black hole solution. Moreover, we will use the partition function for this solution to obtain corrections to the thermodynamics of this system and examine their key role in the behavior of corrected solutions.
© The Author(s) 2022
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