Gauss-Bonnet entropy and thermal dynamics of RN-AdS black holes
arXiv:2510.20183 · doi:10.1007/s10714-025-03487-x
Abstract
We explore the thermodynamics of a novel solution for the Reissner-Nordström-Anti-de Sitter (AdS) black hole, uniquely incorporating the Gauss-Bonnet term. Unlike previous studies that primarily focused on standard General Relativity or other modifications, this inclusion allows for a modified entropy formulation, facilitating the computation of key thermodynamic quantities such as Gibbs free energy, the first law of thermodynamics, the equation of state, and Hawking temperature. We identify critical points and graphically represent the relationship between temperature and Gibbs free energy as a function of the horizon radius. Ultimately, we assess the thermal stability of the Reissner-Nordström-AdS black hole within the framework of Gauss-Bonnet gravity, emphasizing the influence of the Gauss-Bonnet term unlike previous studies that primarily focused on standard General Relativity or other modifications. As a result, it is found that the Gauss-Bonnet coupling significantly alters the thermodynamic behavior and stability structure of the black hole, revealing richer phase transition phenomena.
13 pages, 6 figures, version accepted for publication in General Relativity and Gravitation
References in corpus (27)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Dark Energy and Gravity
- Dark Energy and Dark Gravity
- Horndeski Gravity as Limit of Gauss-Bonnet
- The innermost stable circular orbit and shadow in the novel Einstein-Gauss-Bonnet gravity
- Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
- Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4-D Einstein-Gauss-Bonnet Gravity
- Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime
- Effects of dark energy on P-V criticality of charged AdS black holes
- Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
- Gravitational lensing by charged black hole in regularized Einstein-Gauss-Bonnet gravity
- Effective scalar-tensor description of regularized Lovelock gravity in four dimensions
- Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
- Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole
- Finite-time Cosmological Singularities and the Possible Fate of the Universe
- (In)stability of black holes in the 4D Einstein-Gauss-Bonnet and Einstein-Lovelock gravities
- Thermodynamics of Regular Accelerating Black Holes
- Causal Structures in Gauss-Bonnet gravity
- Kinetics of a phase transition for a Kerr-AdS black hole on the free-energy landscape
- Greybody factor and power spectra of the Hawking radiation in the novel Einstein-Gauss-Bonnet de-Sitter gravity
- Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
- A study on black hole shadows in asymptotically de Sitter spacetimes
- BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock theory
- Causality of black holes in 4-dimensional Einstein-Gauss-Bonnet-Maxwell theory
- Role of Complexity on the Minimal Deformation of Black Holes
- Thermodynamics of two black holes
- Thermodynamics of multi-horizon spacetimes