Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship
arXiv:2504.16705 · doi:10.1140/epjc/s10052-025-14117-w
Abstract
Explicit example, where the Hawking temperature of a black hole horizon is compatible with the black hole's Rényi entropy thermodynamic description, is constructed. It is shown that for every static, spherically symmetric, vacuum black hole space-time, a corresponding black hole solution can be derived, where the Hawking temperature is identical with the Rényi temperature, i.e. the one obtained from the Rényi entropy of the black hole via the 1st law of thermodynamics. In order to have this Hawking-Rényi type thermodynamic property, the black holes must be surrounded by an anisotropic fluid in the form of a Kiselev metric, where the properties of the fluid are uniquely determined by the mass of the black hole, , and the Rényi parameter, λ. In the simplest Schwarzschild scenario, the system is found to be thermodynamically unstable, and the 3rd law of thermodynamics seems to play the role of a cosmic censor via placing an upper bound on the black hole's mass, by which preventing the black hole from loosing its horizon(s).
8 pages, 4 figures, published in EPJC
References in corpus (14)
- Black holes in galaxies: environmental impact on gravitational-wave generation and propagation
- Accelerated cosmos in a non-extensive setup
- Zeroth Law compatibility of non-additive thermodynamics
- Area-law versus Rényi and Tsallis black hole entropies
- Thermodynamics and Spectroscopy of Schwarzschild black hole surrounded by Quintessence
- Alternative entropies and consistent black hole thermodynamics
- New entropies, black holes, and holographic dark energy
- Solid/Liquid Phase Transition and Heat Engine in Asymptotically Flat Schwarzschild Black Hole via the Rényi Extended Phase Space Approach
- Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
- Decomposition of total stress-energy for the generalised Kiselev black hole
- Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
- On Rényi universality formula of charged flat black holes from Hawking-Page phase transition
- Topology of black hole thermodynamics via Rényi statistics
- On some phase equilibrium features of charged black holes in flat spacetime via Rényi statistics