Tunnelling through black rings
Abstract
Hawking radiation of black ring solutions to 5-dimensional Einstein-Maxwell-dilaton gravity theory is analyzed by use of the Parikh-Wilczek tunnelling method. To get the correct tunnelling amplitude and emission rate, we adopted and developed the Angheben-Nadalini-Vanzo-Zerbini covariant approach to cover the effects of rotation and electronic discharge all at once, and the effect of back reaction is also taken into account. This constitute a unified approach to the tunnelling problem. Provided the first law of thermodynamics for black rings holds, the emission rate is proportional to the exponential of the change of Bekenstein-Hawking entropy. Explicit calculation for black ring temperatures agree exactly with the results obtained via the classical surface gravity method and the quasilocal formalism.
Cite
@article{arxiv.hep-th/0602065,
title = {Tunnelling through black rings},
author = {Liu Zhao},
journal= {arXiv preprint arXiv:hep-th/0602065},
year = {2009}
}
Comments
10 pages, V2: various modifications throughout the text, plus a lot of newly added references