Hawking radiation as tunneling for spherically symmetric black holes: A generalized treatment

Details Hawking radiation as tunneling for spherically symmetric black holes: A generalized treatment Hawking radiation as tunneling for spherically symmetric black holes: A generalized treatment

2007-09-27

arxiv.org/abs/0709.4448v1

Phys.Lett.B659:683-687,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX 4; 11 pages; no figures

Scientific paper

10.1016/j.physletb.2007.11.056

We present a derivation of Hawking radiation through tunneling mechanism for a general class of asymptotically flat, spherically symmetric spacetimes. The tunneling rate $\Gamma \sim \exp{(\Delta S)}$ arises as a consequence of the first law of thermodynamics, TdS=dE + PdV. Therefore, this approach demonstrates how tunneling is intimately connected with the first law of thermodynamics through the principle of conservation of energy. The analysis is also generally applicable to any reasonable theory of gravity so long as the first law of thermodynamics for horizons holds in the form, TdS=dE + PdV.

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