TL;DR
This paper investigates Hawking radiation from 5D black rings using an advanced tunnelling method that accounts for rotation, charge, and back reaction, confirming the thermodynamic consistency of the emission process.
Contribution
It develops a unified covariant tunnelling approach for rotating, charged black rings, incorporating back reaction effects and confirming the emission rate's thermodynamic basis.
Findings
Emission rate proportional to exponential of entropy change
Black ring temperature matches classical surface gravity results
Unified method covers rotation, charge, and back reaction effects
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.
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