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Energy density in expanding universes as seen by an Unruh detector

2004/06/28 by Björn Garbrecht, Bjorn Garbrecht, Tomislav Prokopec · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.70.083529

published as Phys.Rev. D70 (2004) 083529 · 15 pages, 1 figure

arxiv created 2004/06/28 · openalex publication_date 2004/10/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the response of an Unruh detector to scalar fields in an expanding spacetime. 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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