Conformal mapping of Unruh temperature

Details Conformal mapping of Unruh temperature Conformal mapping of Unruh temperature

2008-03-11

arxiv.org/abs/0803.1538v2

Mod.Phys.Lett.A24:1473-1483,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Paper shortened and reorganized. To be published in Modern Physics Letters A

Scientific paper

10.1142/S0217732309030874

Thanks to a local interpetation of the KMS condition, the mapping from (unbounded) wedge regions of Minkowski space-time to (bounded) double-cone regions is extended to the Unruh temperature associated to relevant observers in both regions. A previous result, the diamond's temperature, is shown to be proportional to the inverse of the conformal factor (Weyl rescaling of the metric) of this map. One thus explains from a mathematical point of view why an observer with finite lifetime experiences the vacuum as a thermal state whatever his acceleration, even vanishing.

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