Tunnelling methods and Hawking's radiation: achievements and prospects

2011/06/21 by Luciano Vanzo, L. Vanzo, G. Acquaviva +2 · 2 citations
Mathematics · Physics and Astronomy · #Analytic continuation #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Geodesic #Geodesics in general relativity #Geometry #Gravitational singularity #Gravitational wave #Hawking radiation #Horizon #Mathematical analysis #Mathematics #Micro black hole #Naked singularity #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Quantum tunnelling #Spacetime #Theoretical physics #gr-qc

paper · pdf · doi:10.1088/0264-9381/28/18/183001

Topical Review commissioned and accepted for publication by "Classical and Quantum Gravity". 101 pages; 6 figures

arxiv created 2011/06/21 · openalex publication_date 2011/09/05 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

The aim of this work is to review the tunnelling method as an alternative description of the quantum radiation from black holes and cosmological horizons. The method is first formulated and discussed for the case of stationary black holes, and then a foundation is provided in terms of analytic continuation throughout complex spacetime. The two principal implementations of the tunnelling approach, which are the null geodesic method and the Hamilton–Jacobi method, are shown to be equivalent in the stationary case. The Hamilton–Jacobi method is then extended to cover spherically symmetric dynamical black holes, cosmological horizons and naked singularities. Prospects and achievements are discussed in the conclusions.

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