Particle production in time-dependent gravitational fields: the expanding mass shell

Details Particle production in time-dependent gravitational fields: the expanding mass shell Particle production in time-dependent gravitational fields: the expanding mass shell

2002-10-31

arxiv.org/abs/gr-qc/0210110v1

Class.Quant.Grav. 20 (2003) 2337-2354

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 8 figures

Scientific paper

10.1088/0264-9381/20/11/325

We compute the production of particles from the gravitational field of an expanding mass shell. Contrary to the situation of Hawking radiation and the production of cosmological perturbations during cosmological inflation, the example of an expanding mass shell has no horizon and no singularity. We apply the method of `ray-tracing', first introduced by Hawking, and calculate the energy spectrum of the produced particles. The result depends on three parameters: the expansion velocity of the mass shell, its radius, and its mass. Contrary to the situation of a collapsing mass shell, the energy spectrum is non-thermal. Invoking time reversal we reproduce Hawking's thermal spectrum in a certain limit.

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