Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions
arXiv:2505.13555 · doi:10.1140/epjc/s10052-025-14304-9
Abstract
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 dimensional energy-dependent black holes, which are recognized as 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.
arXiv comment7 pages, accepted for publication in the European Physical Journal C
References in corpus (43)
- Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
- P-V criticality of charged AdS black holes
- Charged AdS Black Holes and Catastrophic Holography
- Enthalpy and the Mechanics of AdS Black Holes
- Lorentz invariance with an invariant energy scale
- Nonstandard optics from quantum spacetime
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Quantum Spacetime Phenomenology
- Gravity's Rainbow
- Measurement of the energy spectrum of cosmic rays above 10^18 eV using the Pierre Auger Observatory
- Asymptotically Anti-de Sitter Space-times: Conserved Quantities
- Thermodynamics of modified black holes from gravity's rainbow
- Remnant for all Black Objects due to Gravity's Rainbow
- Nonsingular Rainbow Universes
- Super-Entropic Black Holes
- Topological charged black holes in massive gravity's rainbow and their thermodynamical analysis through various approaches
- Absence of an Effective Horizon for Black Holes in Gravity's Rainbow
- Falsifiable predictions from semiclassical quantum gravity
- Four-dimensional black holes with unusual horizons
- Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
- Ultraspinning limits and super-entropic black holes
- Modifications to Lorentz invariant dispersion in relatively boosted frames
- Modified (A)dS Schwarzschild black holes in Rainbow spacetime
- Rainbow universe
- Particle propagation and effective space-time in Gravity's Rainbow
- Expansion of magnetic neutron stars in an energy (in)dependent spacetime
- Mass and Thermodynamic Volume in Lifshitz Spacetimes
- Are ultra-spinning Kerr-Sen-AdS black holes always super-entropic ?
- Aspects of the dyonic Kerr-Sen-AdS black hole and its ultraspinning version
- Notes on thermodynamics of super-entropic AdS black holes
- Instability of Super-Entropic Black Holes in Extended Thermodynamics
- Super-Entropic Black Holes and the Kerr-CFT Correspondence
- Thermodynamic Instabilities of Generalized Exotic BTZ Black Holes
- Effect of rainbow function on the structural properties of dark energy star
- Diagnosis inspired by the thermodynamic geometry for different thermodynamic schemes of the charged BTZ black hole
- Ultra-Spinning Gauged Supergravity Black Holes and their Kerr/CFT Correspondence
- Thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions
- Horndeski Gravity and the Violation of Reverse Isoperimetric Inequality
- Super-entropic black hole with Immirzi hair
- Null hypersurface caustics for high dimensional superentropic black holes
- Super-entropy bumblebee AdS black holes
- Shadowless rapidly rotating yet not ultraspinning Kerr-AdS and Kerr-Newman-AdS black holes
- Null hypersurface caustics and super-entropic black holes