UV/IR Mixing and Black Hole Thermodynamics

Details UV/IR Mixing and Black Hole Thermodynamics UV/IR Mixing and Black Hole Thermodynamics

2007-08-09

arxiv.org/abs/0708.1220v1

Int.J.Mod.Phys.D17:55-69,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 3 eps figures, accepted for publication in IJMPD

Scientific paper

10.1142/S0218271808011869

The goal of this paper is to investigate the final stage of black hole evaporation process in the framework of Lorentz violating Modified Dispersion Relations(MDRs). As a consequence of MDRs, the high energy sector of the underlying field theory does not decouple from the low energy sector, the phenomenon which is known as UV/IR mixing. In the absence of exact supersymmetry, we derive a modified dispersion relation which shows UV/IR mixing by a novel energy dependence. Then we investigate the effects of these type of MDRs on the thermodynamics of a radiating noncommutative Schwarzschild black hole. The final stage of black hole evaporation obtained in this framework is compared with existing pictures.

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