On the Hawking effect

Abstract

In terms of the Painlev{é}-Gullstrand-Lema{\^ı}tre coordinates a rather general scenario for the gravitational collapse of an object and the subsequent formation of a horizon is described by a manifestly $C^{\infty }$-metric. For a 1+1 dimensional model of the collapse the leading contributions to the Bogoliubov coefficients are calculated explicitely and the Hawking temperature is recovered. But depending on the particular dynamics of the collapse the final state represents either evaporation or anti-evaporation. The generalization of the calculation to 3+1 dimensions is outlined and possible implications are addressed. PACS-numbers: 04.70.Dy, 04.70.-s, 04.62.+v.

16 pages RevTeX, 5 EPS figures added

References in corpus (5)

• A Primer for Black Hole Quantum Physics
• Regular coordinate systems for Schwarzschild and other spherical spacetimes
• Passivity and microlocal spectrum condition
• Thermal quasi-equilibrium states across Landau horizons in the effective gravity of superfluids
• On the Particle Definition in the presence of Black Holes

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• Entanglement generation in relativistic quantum fields
• On the space-time curvature experienced by quasiparticle excitations in the Painleve-Gullstrand effective geometry
• Hawking Radiation from Higher-Dimensional Black Holes
• Detecting the Curvature of de Sitter Universe with Two Entangled Atoms
• Painlevé-Gullstrand synchronizations in spherical symmetry
• On the uniqueness of the space-time energy in General Relativity. The illuminating case of the Schwarzschild metric
• Fermion zero modes in Painlevé-Gullstrand black hole
• The possibility of a simple derivation of the Schwarzschild metric
• Quantum Optics of an Oscillator Falling into a Black Hole