On Hawking Radiation as Tunneling with Logarithmic Corrections

Details On Hawking Radiation as Tunneling with Logarithmic Corrections On Hawking Radiation as Tunneling with Logarithmic Corrections

2005-05-03

arxiv.org/abs/gr-qc/0505015v2

Mod.Phys.Lett. A20 (2005) 1723-1728

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages; (v2) references added and various cosmetic (but no physics) changes

Scientific paper

10.1142/S0217732305018025

There has been recent speculation that the tunneling paradigm for Hawking radiation could -- after quantum-gravitational effects have suitably been incorporated -- provide a means for resolving the (black hole) information loss paradox. A prospective quantum-gravitational effect is the logarithmic-order correction to the Bekenstein-Hawking entropy/area law. In this letter, it is demonstrated that, even with the inclusion of the logarithmic correction (or, indeed, the quantum correction up to any perturbative order), the tunneling formalism is still unable to resolve the stated paradox. Moreover, we go on to show that the tunneling framework effectively constrains the coefficient of this logarithmic term to be non-negative. Significantly, the latter observation implies the necessity for including the canonical corrections in the quantum formulation of the black hole entropy.

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