https://doi.org/10.1140/epjc/s10052-024-12624-w
Regular Article - Theoretical Physics
Accelerating AdS black holes in gravity’s rainbow
1
Department of Theoretical Physics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
2
ICRANet-Mazandaran, University of Mazandaran, P. O. Box 47415-416, Babolsar, Iran
3
ICRANet, Piazza della Repubblica 10, 65122, Pescara, Italy
4
Faculty of Physics, Shahrood University of Technology, Shahrood, Iran
5
Department of Physics, University of Hradec Králové, Rokitanského 62, 500 03, Hradec Králové, Czechia
Received:
5
January
2024
Accepted:
26
February
2024
Published online:
12
March
2024
Motivated by the effect of the energy of moving particles in C-metric, we first obtain exact accelerating black hole solutions in gravity’s rainbow. Then, we study the effects of gravity’s rainbow and C-metric parameters on the Ricci and Kretschmann scalars, and also the asymptotical behavior of this solution. Next, we indicate how different parameters of the obtained accelerating black holes in gravity’s rainbow affect thermodynamics quantities (such as the Hawking temperature, and entropy) and the local stability (by evaluating the heat capacity). In the following, we extract the geodesic equations to determine the effects of various parameters on photon trajectory in the vicinity of this black hole, as well as obtain the radius of the photon sphere and the corresponding critical impact parameter to gain insight into AdS black hole physics by adding the gravity’s rainbow to C-metric.
© The Author(s) 2024
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