New Topological Gauss-Bonnet Black Holes in Five Dimensions
arXiv:2105.08482 · doi:10.1103/PhysRevD.104.084004
Abstract
We investigate vacuum static black hole solutions of Einstein-Gauss-Bonnet gravity with a negative cosmological constant in five dimensions. These are solutions with horizons of nontrivial topologies. The first one possesses a horizon with the topology , and a varying Gauss-Bonnet coupling constant . By looking into its thermodynamic properties, we find that its specific heat capacity with fixed volume is negative, therefore it is thermodynamically unstable. The second one is equipped with a so-called "Sol-manifold" as its horizon, and interestingly, the product of the Gauss-Bonnet coupling constant and the cosmological constant is fixed. For the second solution, the total energy and entropy vanish. These results enlarge our knowledge of both topological black holes in higher dimensions and the property of higher curvature corrections of gravitational theories.
arXiv comment6pages, no figures, some references added in the 2nd version
References in corpus (44)
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- P-V criticality of charged AdS black holes
- A rotating black ring in five dimensions
- Gauss-Bonnet Black Holes in AdS Spaces
- Complexity Equals Action
- Complexity and Shock Wave Geometries
- Black Holes in Higher Dimensions
- Complexity, action, and black holes
- Cylindrical Black Hole in General Relativity
- Topological Black Holes in Anti-de Sitter Space
- Rotating Charged Black Strings in General Relativity
- Black plane solutions in four dimensional spacetimes
- Comments on Holographic Complexity
- On the Time Dependence of Holographic Complexity
- Dimensionally Continued Black Holes
- A generalization of Hawking's black hole topology theorem to higher dimensions
- Making Anti-de Sitter Black Holes
- On the topology of stationary black holes
- Circuit Complexity for Coherent States
- Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
- Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling
- Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
- Complexity of Mixed States in QFT and Holography
- The First Law of Complexity
- A Complexity for Quantum Field Theory States and Application in Thermofield Double States
- Holographic subregion complexity under a thermal quench
- Strong energy condition and complexity growth bound in holography
- Principles and symmetries of complexity in quantum field theory
- Surface Counterterms and Regularized Holographic Complexity
- Time Dependence of Holographic Complexity in Gauss-Bonnet Gravity
- New Five Dimensional Black Holes Classified by Horizon Geometry, and a Bianchi VI Braneworld
- Complexity of Holographic Superconductors
- Black Holes without Mass and Entropy in Lovelock Gravity
- Time evolution of the complexity in chaotic systems: concrete examples
- More on complexity of operators in quantum field theory
- Criticality in Einstein-Gauss-Bonnet Gravity: Gravity without Graviton
- Complexity/Action duality of shock wave geometry in a massive gravity theory
- Holographic complexity growth in a FLRW universe
- Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
- Complexity of operators generated by quantum mechanical Hamiltonians
- Generalized Formalism in Gauge-Invariant Gravitational Perturbations
- Hyperbolicity and Causality of Einstein-Gauss-Bonnet Gravity in Warped Product Spacetimes
- Upper bound about cross-sections inside black holes and complexity growth rate