Thermodynamics in variable speed of light theories

Details Thermodynamics in variable speed of light theories Thermodynamics in variable speed of light theories

2007-11-06

arxiv.org/abs/0711.0797v2

Phys.Rev.D80:083526,2009

Astronomy and Astrophysics

Astrophysics

V2 (published version): 20 pages, 0 figures. Title shortened, a section on the luminosity of white dwarfs has been added, and

Scientific paper

10.1103/PhysRevD.80.083526

The perfect fluid in the context of a covariant variable speed of light theory proposed by J. Magueijo is studied. On the one hand the modified first law of thermodynamics together with a recipe to obtain equations of state are obtained. On the other hand the Newtonian limit is performed to obtain the nonrelativistic hydrostatic equilibrium equation for the theory. The results obtained are used to determine the time variation of the radius of Mercury induced by the variability of the speed of light ($c$), and the scalar contribution to the luminosity of white dwarfs. Using a bound for the change of that radius and combining it with an upper limit for the variation of the fine structure constant, a bound on the time variation of $c$ is set. An independent bound is obtained from luminosity estimates for Stein 2015B.

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