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 (5)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Fast Radio Bursts and White Hole Signals
• Planck star phenomenology
• The volume of stationary black holes and the meaning of the surface gravity
• Black hole entropy from graviton entanglement

Cited by in corpus (7)

• On the entropy associated with the interior of a black hole
• Infinite Volume of Noncommutative Black Hole Wrapped by Finite Surface
• Interior Volume of Banados-Teitelboim-Zanelli Black Hole
• Information paradox and corrected thermodynamics for black holes
• Hawking Radiation inside Black Holes in Quantum Gravity
• A divergent volume for black holes calls for no "firewall"
• Black Holes as a Gateway to the Quantum: Classical and Semi-Classical Explorations