Wednesday, July 3, 2013

1307.0172 (Deyou Chen et al.)

Quantum gravity effects on Fermions' tunneling from charged/rotating

Deyou Chen, Houwen Wu, Haitang Yang
Based on the generalized uncertainty principle, we introduce the quantum gravity effects into the tunneling of spin-1/2 fermions in Reissner-Nordstrom and Kerr black holes. We adopt Hamilton-Jacob method to solve the generalized Dirac equation in curved spacetime. A novel feature we find is that the increase of Hawking temperature during evaporation is slowed down by the quantum gravity effects. This property naturally leads to a residue mass in black hole evaporation. The corrected temperature is determined also by the quantum numbers of emitted fermions. Meanwhile, for a Kerr black hole, the corrected temperature is a function of $\theta$ due to the rotation.
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