Black hole thermodynamics under the microscope
arXiv:1212.1821 · doi:10.1103/PhysRevD.89.084002
Abstract
A coarse-grained version of the effective action is used to study the thermodynamics of black holes, interpolating from largest to smallest masses. The physical parameter of the black hole are linked to the running couplings by thermodynamics, and the corresponding equation of state includes quantum corrections for temperature, specific heat, and entropy. If quantum gravity becomes asymptotically safe, the state function predicts conformal scaling in the limit of small horizon area, and bounds on black hole mass and temperature. A metric-based derivation for the equation of state, and quantum corrections to the thermodynamical, statistical, and phenomenological definition of entropy are also given. Further implications and limitations of our study are discussed.
26 pages, 3 figures; v2: eqs (20), (42), and comments added, version to appear in Phys. Rev. D
References in corpus (21)
- Exact evolution equation for the effective potential
- On the renormalization group flow of f(R)-gravity
- Spacetime Structure of an Evaporating Black Hole in Quantum Gravity
- Asymptotically Safe Lorentzian Gravity
- Taming perturbative divergences in asymptotically safe gravity
- Fixed points of quantum gravity in extra dimensions
- Background Independence and Asymptotic Safety in Conformally Reduced Gravity
- Quantum Gravity Effects in the Kerr Spacetime
- Inflationary solutions in asymptotically safe f(R) theories
- On fixed points of quantum gravity
- Signatures of gravitational fixed points at the LHC
- Asymptotically Safe Cosmology
- Running boundary actions, Asymptotic Safety, and black hole thermodynamics
- A pedagogical explanation for the non-renormalizability of gravity
- Asymptotic Safety, Emergence and Minimal Length
- Collider Signals of Gravitational Fixed Points
- Fixed points of quantum gravity in higher dimensions
- Comment on Asymptotically Safe Inflation
- Asymptotic safety and Kaluza-Klein gravitons at the LHC
- Evolution of cosmological perturbations in an RG-driven inflationary scenario
- Inflation in asymptotically safe f(R) theory
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- A scale dependent black hole in three-dimensional space-time
- Status of the asymptotic safety paradigm for quantum gravity and matter
- Correlation functions on a curved background
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- Quasinormal modes of renormalization group improved Dymnikova regular black holes
- Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
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- Avoidance of singularities in asymptotically safe Quantum Einstein Gravity
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- Black Hole Solutions for Scale Dependent Couplings: The de Sitter and the Reissner-Nordström Case
- Quantum Gravity signatures in the Unruh effect
- Improved Reissner-Nordström-(A)dS Black Hole in Asymptotic Safety
- Non-Singular Black Holes, the Cosmological Constant and Asymptotic Safety
- The Effects of Running Gravitational Coupling On Rotating Black Holes
- Black hole entanglement entropy and the renormalization group
- Accretion disk around a Schwarzschild black hole in asymptotic safety
- Formation and evaporation of quantum black holes from the decoupling mechanism in quantum gravity
- Running Newton Coupling, Scale Identification and Black Hole Thermodynamics
- Cosmological constant problem: deflation during inflation
- Functional Renormalisation for Quantum Gravity
- Quantum gravity effects in Myers-Perry space-times
- Quantum gravity lights up spinning black holes
- Effective action and black hole solutions in asymptotically safe quantum gravity
- Provable properties of asymptotic safety in approximation
- Offshell thermodynamic metrics of the Schwarzschild black hole
- Renormalizability of alternative theories of gravity: differences between power counting and entropy argument
- Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
- Five-dimensional scale-dependent black holes with constant curvature and Solv horizons
- The effects of running gravitational coupling on three dimensional black holes
- Preliminary test of cosmological models in the scale-dependent scenario
- How not to establish the non-renormalizability of gravity
- Image of Quantum Improved Regular Kerr Black Hole and Parameter Constraints from EHT Observations
- Asymptotically Weyl-Invariant Gravity
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- Vacuum energy, the Casimir effect, and Newton's non-constant
- Renormalizing Spacetime
- The temperature and entropy corrections on the charged hairy black holes
- Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
- A Universe from a Lagrangian Fixed Point
- Shadow of rotating black holes with consistent thermodynamics
- Invariant Renormalization-Group improvement
- Black hole entropy and the renormalization group
- Hawking area law in quantum gravity
- Charting GLOBs in Asymptotically Safe Gravity
- Hawking Radiation of Warped Anti de Sitter and Rotating Hairy Black Holes with Scalar Hair