Effective models of non-singular quantum black holes

Abstract

We investigate how the resolution of the singularity problem for the Schwarzschild BH could be related to the presence of quantum gravity effects at horizon scales. Motivated by the analogy with the cosmological Schwarzschild-dS solution, we construct a class of non-singular, static, asymptotically-flat BH solutions with a dS core, sourced by an anisotropic fluid, which encodes the quantum corrections. The latter are parametrized by a single length-scale $\ell$, which has a dual interpretation as an effective "quantum hair" and as the length-scale resolving the classical singularity. Depending on the value of $\ell$, these solutions can have two horizons, be extremal (when the two horizons merge) or be horizonless exotic stars. We also investigate the thermodynamic behavior of our BH solutions and propose a generalization of the area law in order to account for their entropy. We find a second-order phase transition near extremality, when $\ell$ is of order of the classical Schwarzschild radius $R_{\mathrm{S}}$. BHs with $\ell \sim R_{\mathrm{S}}$ are thermodynamically preferred with respect to those with $\ell \ll R_{\mathrm{S}}$, supporting the relevance of quantum corrections at horizon scales. We also find that the extremal configuration is a zero-temperature, zero-entropy state with its near-horizon geometry factorizing as AdS${}_2\times$ S${}^2$, signalizing the possible relevance of these models for the information paradox. We show that the presence of quantum corrections with $\ell \sim R_{\mathrm{S}}$ have observable phenomenological signatures in the photon orbits and in the QNMs spectrum. In particular, in the near-extremal regime, the imaginary part of the spectrum scales with the temperature as $c_1/\ell +c_2\ell T_{\text{H}}^2$, while it goes to zero linearly in the near-horizon limit. Our general findings are confirmed by revisiting two already-known models, namely the Hayward and gaussian-core BHs.

arXiv comment36 pages, 7 figures. Some references and additional comments/clarifications added. Matches the version published in PRD

References in corpus (105)

• Black Holes: Complementarity or Firewalls?
• P-V criticality of charged AdS black holes
• Formation and evaporation of non-singular black holes
• Information in Black Hole Radiation
• Geodesic stability, Lyapunov exponents and quasinormal modes
• The information paradox: A pedagogical introduction
• Replica Wormholes and the Entropy of Hawking Radiation
• The fuzzball proposal for black holes: an elementary review
• Noncommutative geometry inspired Schwarzschild black hole
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• The Page curve of Hawking radiation from semiclassical geometry
• The entropy of Hawking radiation
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Renormalization group improved black hole spacetimes
• Emergent Gravity and the Dark Universe
• Anti-de Sitter Fragmentation
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Dilaton Gravity in Two Dimensions
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• Notes on non-singular models of black holes
• The physical interpretation of the spectrum of black hole quasinormal modes
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• Noncommutative geometry inspired charged black holes
• How to tell a gravastar from a black hole
• Black Hole Remnants and the Information Loss Paradox
• CFT Duals for Extreme Black Holes
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Classification of near-horizon geometries of extremal black holes
• Quantum Compositeness of Gravity: Black Holes, AdS and Inflation
• Charged rotating noncommutative black holes
• Space-Time Structure of Loop Quantum Black Hole
• Disappearance of Black Hole Singularity in Quantum Gravity
• Black holes in an ultraviolet complete quantum gravity
• Novel black-bounce spacetimes: wormholes, regularity, energy conditions, and causal structure
• UV-Completion by Classicalization
• Phenomenological aspects of black holes beyond general relativity
• Information loss problem and a `black hole' model with a closed apparent horizon
• On singularities of spherically symmetric backgrounds in string theory
• On the viability of regular black holes
• Geodesically complete black holes
• A novel family of rotating black hole mimickers
• Anisotropic stars as ultracompact objects in General Relativity
• Gravastar Solutions with Continuous Pressures and Equation of State
• Regular black holes with asymptotically Minkowski cores
• Non-singular quantum-inspired gravitational collapse
• Slow relaxation of rapidly rotating black holes
• On a regular charged black hole with a nonlinear electric source
• Van der Waals black hole
• A model for non-singular black hole collapse and evaporation
• Charged black-bounce spacetimes
• Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime
• Branching of quasinormal modes for nearly extremal Kerr black holes
• Nonviolent nonlocality
• Inner horizon instability and the unstable cores of regular black holes
• Physics on Smallest Scales - An Introduction to Minimal Length Phenomenology
• Conformal Symmetry Breaking and Thermodynamics of Near-Extremal Black Holes
• Dynamics of Extremal Black Holes
• Regular black holes with stable cores
• Echoes from Quantum Black Holes
• Noncommutative Schwarzschild Black Hole and Area Law
• Thermodynamics and evaporation of the noncommutative black hole
• Thermal Dynamic Phase Transition of Reissner-Nordström Anti-de Sitter Black Holes on Free Energy Landscape
• Glassy Phase Transition and Stability in Black Holes
• Quasinormal resonances of near-extremal Kerr-Newman black holes
• Matter and gravitons in the gravitational collapse
• Effective Fluid Description of the Dark Universe
• Quantum Harmonic Black Holes
• Entropy Bound and Unitarity of Scattering Amplitudes
• On Reflectivity of Quantum Black Hole Horizons
• Classicalization of Gravitons and Goldstones
• Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
• Generic thin-shell gravastars
• Emergence of a Dark Force in Corpuscular Gravity
• Formation of dark energy stars
• Analytical quasinormal modes of spherically symmetric black holes in the eikonal regime
• Regular black holes in UV self-complete quantum gravity
• String field theory in curved spacetime and the resolution of spacelike singularities
• Quasinormal resonances of a charged scalar field in a charged Reissner-Nordström black hole spacetime: A WKB analysis
• Quasinormal resonances of a massive scalar field in a near-extremal Kerr black hole spacetime
• Phase transition and critical phenomena of black holes: A general approach
• On the thermodynamics of the Hayward black hole
• Quasinormal modes for single horizon black holes in generic 2-d dilaton gravity
• Gravastars and Black Holes of Anisotropic Dark Energy
• Anisotropic Fluid Cosmology: an Alternative to Dark Matter?
• Thermal BEC black holes
• Anisotropic universe with anisotropic sources
• Galactic dynamics and long-range quantum gravity
• Classical stability and quantum instability of black-hole Cauchy horizons
• Minimum length effects in black hole physics
• Quasinormal Modes and Thermodynamics of Regular Black Holes
• Scalar perturbations of black holes in Jackiw-Teitelboim gravity
• Horizon Quantum Mechanics: a hitchhiker's guide to quantum black holes
• Cosmological anisotropy from non-comoving dark matter and dark energy
• Quasi-normal modes and microscopic description of 2D black holes
• Quasinormal frequencies of asymptotically anti-de Sitter black holes in two dimensions
• Emergence of a Cosmological Constant in Anisotropic Fluid Cosmology
• Horizon quantum fuzziness for non-singular black holes
• Conformal symmetry of gravity and the cosmological constant problem
• The VECRO hypothesis
• Quasi-normal modes and Microscopic Structure of the Schwarzschild Black Hole
• Entropy spectra of single horizon black holes in two dimensions
• The nature of the gravitational vacuum
• Unified description of galactic dynamics and the cosmological constant