Black hole mass formula in the membrane paradigm

Abstract

The membrane paradigm approach adopts a timelike surface, stretched out off the null event horizon, to study several important black hole properties. We use this powerful tool to give a direct derivation of the black hole mass formula in the static and stationary cases without and with electric field. Since here the membrane is a self-gravitating material system we go beyond the usual applicability on test particles and test fields of the paradigm.

27 pages, no figures. The revised version emphasizes the novelty of the result within the membrane paradigm. Other minor corrections

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Cited by in corpus (2)

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