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Thermodynamic Properties of Spherically-Symmetric, Uniformly-Accelerated Reference Frames

2007/01/15 by Chao-Guang Huang, Huang Chao-Guang, Jia-Rui Sun +1 · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Thermodynamics and Statistical Mechanics #Quantum Electrodynamics and Casimir Effect #gr-qc

paper · pdf · doi:10.1088/0253-6102/49/4/26

published as Commun.Theor.Phys.49:928-932,2008 · 8 pages

arxiv created 2007/01/15 · openalex publication_date 2008/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We aim to study the thermodynamic properties of the spherically symmetric reference frames with uniform acceleration, including the spherically symmetric generalization of Rindler reference frame and the new kind of uniformly accelerated reference frame. We find that, unlike the general studies about the horizon thermodynamics, one cannot obtain the laws of thermodynamics for their horizons in the usual approaches, despite that one can formally define an area entropy (Bekenstein–Hawking entropy). In fact, the common horizon for a set of uniformly accelerated observers does not always exist, even though the Hawking–Unruh temperature is still well-defined. This result indicates that the Hawking–Unruh temperature is only a kinematic effect, and to gain the laws of thermodynamics for the horizon, one needs the help of dynamics. Our result is in accordance with those from the various studies about the acoustic black holes.

Citations

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