Energy Density in Expanding Universes as Seen by Unruh's Detector

Details Energy Density in Expanding Universes as Seen by Unruh's Detector Energy Density in Expanding Universes as Seen by Unruh's Detector

2004-06-28

arxiv.org/abs/gr-qc/0406114v1

Phys.Rev. D70 (2004) 083529

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 1 figure

Scientific paper

10.1103/PhysRevD.70.083529

We consider the response of an Unruh detector to scalar fields in an expanding space-time. When combining transition elements of the scalar field Hamiltonian with the interaction operator of detector and field, one finds at second order in time-dependent perturbation theory a transition amplitude, which actually dominates in the ultraviolet over the first order contribution. In particular, the detector response faithfully reproduces the particle number implied by the stress-energy of a minimally coupled scalar field, which is inversely proportional to the energy of a scalar mode. This finding disagrees with the contention that in de Sitter space, the response of the detector drops exponentially with particle energy and therefore indicates a thermal spectrum.

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