Accelerated Detectors and Temperature in (Anti) de Sitter Spaces

Details Accelerated Detectors and Temperature in (Anti) de Sitter Spaces Accelerated Detectors and Temperature in (Anti) de Sitter Spaces

1997-06-06

arxiv.org/abs/gr-qc/9706018v1

Class.Quant.Grav.14:L163-L168,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex +2 Fig

Scientific paper

10.1088/0264-9381/14/9/003

We show, in complete accord with the usual Rindler picture, that detectors with constant acceleration $a$ in de Sitter (dS) and Anti de Sitter (AdS) spaces with cosmological constants $\Lambda$ measure temperatures $2\pi T=(\Lambda/3+a^{2})^{1/2}\equiv a_{5}$, the detector "5-acceleration" in the embedding flat 5-space. For dS, this recovers a known result; in AdS, where $\Lambda$ is negative, the temperature is well defined down to the critical value $a_{5}=0$, again in accord with the underlying kinematics. The existence of a thermal spectrum is also demonstrated for a variety of candidate wave functions in AdS backgrounds.

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