How big is a black hole?

Abstract

The 3d volume inside a spherical black hole can be defined by extending an intrinsic flat-spacetime characterization of the volume inside a 2-sphere. For a collapsed object, the volume grows with time since the collapse, reaching a simple asymptotic form, which has a compelling geometrical interpretation. Perhaps surprising, it is large. The result may have relevance for the discussion on the information paradox.

7 pages, 5 figures. References added

References in corpus (13)

• Formation and evaporation of non-singular black holes
• A Covariant Entropy Conjecture
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Black hole fireworks: quantum-gravity effects outside the horizon spark black to white hole tunneling
• Planck stars
• Fast Radio Bursts and White Hole Signals
• Planck star phenomenology
• The Volume of Black Holes
• The Vector Volume and Black Holes
• The Volume Inside a Black Hole
• What is the Shape of a Black Hole?
• The volume of stationary black holes and the meaning of the surface gravity
• Black hole entropy from graviton entanglement

Cited by in corpus (70)

• Black hole chemistry: thermodynamics with Lambda
• Comments on Holographic Complexity
• White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
• Black Holes in Loop Quantum Gravity
• Black Hole evaporation: A Perspective from Loop Quantum Gravity
• Small black/white hole stability and dark matter
• On the geometry of the black-to-white hole transition within a single asymptotic region
• On the volume inside old black holes
• Entropy in the interior of a black hole and thermodynamics
• The End of a Black Hole's Evaporation -- Part I
• The Persistence of the Large Volumes in Black Holes
• Entropy evolution of moving mirrors and the information loss problem
• Ensemble from Coarse Graining: Reconstructing the Interior of an Evaporating Black Hole
• How Information Crosses Schwarzschild's Central Singularity
• Never Judge a Black Hole by Its Area
• Quasinormal Modes and Thermodynamics of Regular Black Holes
• The Multiverse in an Inverted Island
• Constraining the number of horizons with energy conditions
• Comments on Microcausality, Chaos, and Gravitational Observables
• The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole
• Dark matter as Planck relics without too exotic hypotheses
• Entropy in the interior of a Kerr black hole
• On the entropy associated with the interior of a black hole
• Entropy corresponding to the interior of a Schwarzschild black hole
• Black Hole and de Sitter Microstructures from a Semiclassical Perspective
• The subtle unphysical hypothesis of the firewall theorem
• Diffuse emission from black hole remnants
• Photon sphere and phase transition of $d$-dimensional ($d\ge 5$) charged Gauss-Bonnet AdS black holes
• Interior Volume of Banados-Teitelboim-Zanelli Black Hole
• Page curves for tripartite systems
• Infinite Volume of Noncommutative Black Hole Wrapped by Finite Surface
• Shadow of the wormholelike static aether solution
• Maximal volume behind horizons without curvature singularity
• A Complementary Third Law for Black Hole Thermodynamics
• The black hole information puzzle and the quantum de Finetti theorem
• Interior volume of ($1+D$) dimensional Schwarzschild black hole
• Black hole horizons can hide positive heat capacity
• From the Black Hole Conundrum to the Structure of Quantum Gravity
• White-hole dark matter and the origin of past low-entropy
• The Interior Volume of Kerr-AdS Black Holes
• Closer look at white hole remnants
• Volume of a rotating black hole in 2+1 dimensions
• Upper bound about cross-sections inside black holes and complexity growth rate
• The volume of the black holes - the constant curvature slicing of the spherically symmetric spacetime
• Volume dependent extension of Kerr-Newman black hole thermodynamics
• Black Hole Information Loss: Some Food for Thoughts
• Inside the Schwarzschild-Tangherlini black holes
• Holographic Cavalieri Principle as a Universal relation between Holographic Complexity and Holographic Entanglement Entropy
• The information loss problem and Hawking radiation as tunneling
• Holographic Heat Engines Coupled with Logarithmic $U(1)$ Gauge Theory
• Black Hole: The Interior Spacetime
• Information paradox and corrected thermodynamics for black holes
• Hawking Radiation inside Black Holes in Quantum Gravity
• Holographic pressure and volume for black holes
• A divergent volume for black holes calls for no "firewall"
• Maximal hypersurface in a D-dimensional dynamical spacetime
• Information evolution in the interior of an axially symmetric BTZ black hole
• The CR Volume for Black Holes and the Corresponding Entropy Variation: A Review
• Finite geometry and black hole stability: Embedding discrete space into classical manifolds
• On the assumptions leading to the information loss paradox
• Interaction of a black hole with scalar field in cosmology background
• Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture
• Maximal hypersurfaces and aspects of volume of the Kerr family of black holes
• Black hole information paradox without Hawking radiation
• Evolution of interior entropy of a loop quantum-corrected black hole pierced by a cosmic string
• The holographic principle comes from finiteness of the universe's geometry
• Holographic Interpretation of Relative State Complexity
• A New Look at the $C^0$-formulation of the Strong Cosmic Censorship Conjecture
• Vacuum-purified Hawking radiation from evaporating black holes: Lessons from moving mirrors
• Black Holes as a Gateway to the Quantum: Classical and Semi-Classical Explorations