Thermodynamics for Kodama observer in general spherically symmetric spacetimes

Details Thermodynamics for Kodama observer in general spherically symmetric spacetimes Thermodynamics for Kodama observer in general spherically symmetric spacetimes

2010-08-19

arxiv.org/abs/1008.3215v2

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, typos corrected, references added

Scientific paper

By following the spirit of arXiv:1003.5665, we define a new Tolman temperature of Kodama observer directly related to its acceleration. We give a generalized integral form of thermodynamics relation on virtual sphere of constant $r$ in non-static spherical symmetric spacetimes. This relation contains work term contributed by `redshift work density', `pressure density' and `gravitational work density'. We illustrate it in RN black hole, Dilaton-Maxwell-Einstein black hole and Vaidya black hole. We argue that the co-moving observers are not physically related to Kodama observers in FRW universe unless in the vacuum case. We also find that a generalized differential form of first law is difficult to be well defined, and it would not give more information than the integral form.

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