TL;DR
This paper challenges the assumption that black hole interior volume correlates directly with horizon area, showing that the interior volume can vary independently and is not necessarily monotonic with the surface area.
Contribution
It demonstrates that black hole interior volume is not simply related to horizon area, countering previous speculations about their correlation.
Findings
Interior volume is not necessarily monotonic with horizon area
Black hole interior volume can grow independently of surface area
No simple relation exists between interior volume and horizon area
Abstract
Christodoulou and Rovelli have shown that black holes have large interiors that grow asymptotically linearly in advanced time, and speculated that this may be relevant to the information loss paradox. We show that there is no simple relation between the interior volume of an arbitrary black hole and its horizon area. That is, the volume enclosed is not necessarily a monotonically increasing function of the surface area.
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