https://doi.org/10.1140/epjc/s10052-025-14304-9
Regular Article - Theoretical Physics
Super-entropic black holes in gravity’s rainbow and determining constraints on rainbow functions
Department of Theoretical Physics, Faculty of Basic Sciences, University of Mazandaran, 47416-95447, Babolsar, Iran
Received:
9
February
2025
Accepted:
10
May
2025
Published online:
13
June
2025
This paper is motivated by the application of the inverse isoperimetric inequality to establish constraints on the parameters of gravity’s rainbow. We investigate the thermodynamic (in)stability conditions for d-dimensional energy-dependent black holes, which are recognized as d-dimensional black holes within the framework of gravity’s rainbow. To achieve this, we calculate thermodynamic quantities such as Hawking temperature, entropy, total mass, and heat capacity in both extended and non-extended phase spaces for these black holes. We assess the physical and stable regions by utilizing these thermodynamic quantities alongside the inverse isoperimetric inequality, aiming to determine constraints on the rainbow functions. Finally, we show that by considering a constraint on the rainbow function, these black holes satisfy the super-entropic condition.
© The Author(s) 2025
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Funded by SCOAP3.
