Unruh--DeWitt detectors in spherically symmetric dynamical space-times

Details Unruh--DeWitt detectors in spherically symmetric dynamical space-times Unruh--DeWitt detectors in spherically symmetric dynamical space-times

2011-11-28

arxiv.org/abs/1111.6389v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, to appear on IJTP. arXiv admin note: substantial text overlap with arXiv:1101.5254

Scientific paper

In the present paper, Unruh--DeWitt detectors are used in order to investigate the issue of temperature associated with a spherically symmetric dynamical space-times. Firstly, we review the semi-classical tunneling method, then we introduce the Unruh--DeWitt detector approach. We show that for the generic static black hole case and the FRW de Sitter case, making use of peculiar Kodama trajectories, semiclassical and quantum field theoretic techniques give the same standard and well known thermal interpretation, with an associated temperature, corrected by appropriate Tolman factors. For a FRW space-time interpolating de Sitter space with the Einstein--de Sitter universe (that is a more realistic situation in the frame of $\Lambda$CDM cosmologies), we show that the detector response splits into a de Sitter contribution plus a fluctuating term containing no trace of Boltzmann-like factors, but rather describing the way thermal equilibrium is reached in the late time limit. As a consequence, and unlike the case of black holes, the identification of the dynamical surface gravity of a cosmological trapping horizon as an effective temperature parameter seems lost, at least for our co-moving simplified detectors. The possibility remains that a detector performing a proper motion along a Kodama trajectory may register something more, in which case the horizon surface gravity would be associated more likely to vacuum correlations than to particle creation.

Affiliated with

Also associated with

No associations

Rating

Unruh--DeWitt detectors in spherically symmetric dynamical space-times does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Unruh--DeWitt detectors in spherically symmetric dynamical space-times, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unruh--DeWitt detectors in spherically symmetric dynamical space-times will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-67267