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

2007/09/27 by Sudipta Sarkar, Dawood Kothawala · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2007.11.056

published as Phys.Lett.B659:683-687,2008 · RevTeX 4; 11 pages; no figures

arxiv created 2007/09/27 · openalex publication_date 2007/12/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We present a derivation of Hawking radiation through tunneling mechanism for a general class of asymptotically flat, spherically symmetric spacetimes. The tunneling rate Γ∼exp(ΔS) 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.

Citations

• The four laws of black hole mechanics
• Particle creation by black holes
• Hawking Radiation as Tunneling

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