Hollowgraphy driven holography: Black hole with vanishing volume interior

Aharon Davidson, Ilya Gurwich

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Hawking-Bekenstein entropy formula seems to tell us that no quantum degrees of freedom can reside in the interior of a black hole. We suggest that this is a consequence of the fact that the volume of any interior sphere of finite surface area simply vanishes. Obviously, this is not the case in general relativity. However, we show that such a phenomenon does occur in various gravitational theories which admit a spontaneously induced general relativity. In such theories, due to a phase transition (one-parameter family degenerates) which takes place precisely at the would-have-been horizon, the recovered exterior Schwarzschild solution connects, by means of a self-similar transition profile, with a novel "hollow" interior exhibiting a vanishing spatial volume and a locally varying Newton constant. This constitutes the so-called "hollowgraphy" driven holography.

Original languageEnglish
Pages (from-to)2345-2351
Number of pages7
JournalInternational Journal of Modern Physics D
Issue number14
StatePublished - 1 Dec 2010


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