TL;DR
This paper investigates the internal volume of black holes, revealing it grows significantly over time and may impact the understanding of the information paradox.
Contribution
It introduces a new way to define and analyze the volume inside a black hole using intrinsic flat-spacetime geometry, providing novel insights.
Findings
Black hole volume grows with time after collapse
The asymptotic volume has a clear geometric interpretation
Black hole interior volume is larger than previously thought
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.
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