Particle production from marginally trapped surfaces of general spacetimes

Abstract

We provide a general formalism that allows to analyze the phenomenon of tunneling in arbitrary spacetimes. We show that a flux of particles produced by tunneling through general marginally trapped surfaces may be perceived by some privileged observers. We discuss how this particle perception can be related to Hawking/Unruh radiation in specific cases. Our approach naturally leads to an expression for the effective surface gravity of marginally trapped surfaces. The procedure is applicable to general astrophysical and cosmological dynamical situations. Some practical examples for known and new cases are provided.

24 pages, 2 figures. Section 4.2, concerning the analysis of the Kerr-Vaidya solution, has been rewritten, correcting mistakes in previous versions. The corrected calculations do support our claims. A corrigendum has also been sent to CQG. New references added. Some of the mistakes in previous versions are actually common and spread in the literature on the Kerr-Vaidya solution

References in corpus (5)

• Black hole evaporation: A paradigm
• Hawking-like radiation from evolving black holes and compact horizonless objects
• Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
• The region with trapped surfaces in spherical symmetry, its core, and their boundaries
• A Note on trapped Surfaces in the Vaidya Solution

Cited by in corpus (9)

• Tunneling method for Hawking quanta in analogue gravity
• Curvature invariant characterization of event horizons of four-dimensional black holes conformal to stationary black holes
• Quantum effects across dynamical horizons
• Gravitational Tunneling in Lorentz Violating Gravity
• Trapped region in Kerr-Vaidya space-time
• Evaporation of a nonsingular Reissner-Nordström black hole and information loss problem
• Radiative properties of a nonsingular black hole: Hawking radiation and gray-body factor
• Magnetized dynamical black holes
• Dynamical axisymmetric compact objects in General Relativity