Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
arXiv:2211.05989 · doi:10.1016/j.nuclphysb.2025.116796
Abstract
The nonextensive nature of black holes is one of the most intriguing discoveries. In fact, the black hole entropy is a nonextensive quantity that scales by its surface area at the event horizon. In our work, we extend the thermodynamic phase space of black holes by treating the nonextensive parameter of the Rényi entropy as the thermodynamic variable. Using Euler's theorem for a homogeneous function of the black holes' mass, the compatible Smarr formula and the first law of black hole thermodynamics can be obtained. It is also demonstrated that, by keeping the same form of the black hole mass, the Rényi temperature is straightforwardly defined as proposed in the literature. Since many different types of black holes can indeed be successfully treated with such a procedure, our consideration is fairly general. It is worthwhile to argue that the black hole thermodynamics in Rényi statistics is rooted from the relation among geometric quantities in the same way as the standard approach corresponding to the Gibbs-Boltzmann statistics. Even though our results are based on classical gravity, they may pave the way to derive the Rényi temperature using the notion of quantum field in curved spacetime.
arXiv comment27 pages, no figure
References in corpus (48)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- The Dynamics of General Relativity
- First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
- First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
- First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
- Effective Field Theory, Black Holes, and the Cosmological Constant
- Enthalpy and the Mechanics of AdS Black Holes
- First M87 Event Horizon Telescope Results. II. Array and Instrumentation
- First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
- Black hole chemistry: thermodynamics with Lambda
- Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
- Tsallis Holographic Dark Energy
- Generalized entropy formalism and a new holographic dark energy model
- Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes
- Barrow holographic dark energy
- P-V criticality in the extended phase space of black holes in massive gravity
- Thermodynamic approach to holographic dark energy and the Rényi entropy
- van der Waals like behaviour of topological AdS black holes in massive gravity
- Early and late universe holographic cosmology from a new generalized entropy
- Rényi entropy and the thermodynamic stability of black holes
- A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy
- A class of black holes in dRGT massive gravity and their thermodynamical properties
- Zeroth Law compatibility of non-additive thermodynamics
- Area-law versus Rényi and Tsallis black hole entropies
- Thermodynamics, stability and Hawking-Page transition of Kerr black holes from Rényi statistics
- Holographic Stress Tensors for Kerr-AdS Black Holes
- Greybody factor for black holes in dRGT massive gravity
- Komar Integrals in Higher (and Lower) Derivative Gravity
- Solution Phase Space and Conserved Charges: A General Formulation for Charges Associated with Exact Symmetries
- Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via Rényi Statistics
- Modified cosmology from the thermodynamics of apparent horizon
- The minus sign in the first law of de Sitter horizons
- Alternative entropies and consistent black hole thermodynamics
- New entropies, black holes, and holographic dark energy
- Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
- Thermodynamics and Phase Transition of Spherically Symmetric Black Hole in de Sitter Space from Rényi Statistics
- Mass of Kerr-Newman Black Holes in an external magnetic field
- 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
- Equilibrium Temperature for Black Holes with Nonextensive Entropy
- Conserved Charges and First Law of Thermodynamics for Kerr-de Sitter Black Holes
- Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
- Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
- Black hole horizons can hide positive heat capacity
- A Komar-like integral for mass and angular momentum of asymptotically AdS black holes in Einstein gravity
- Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
- Holographic Dark Energy from the Anti-de Sitter Black Hole
- Volume dependent extension of Kerr-Newman black hole thermodynamics
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