Hyperbolic heat equation in Kaluza's magnetohydrodynamics

Details Hyperbolic heat equation in Kaluza's magnetohydrodynamics Hyperbolic heat equation in Kaluza's magnetohydrodynamics

2006-01-11

arxiv.org/abs/gr-qc/0601042v1

Gen.Rel.Grav.39:1287-1296,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, no figures

Scientific paper

10.1007/s10714-007-0460-0

This paper shows that a hyperbolic equation for heat conduction can be obtained directly using the tenets of linear irreversible thermodynamics in the context of the five dimensional space-time metric originally proposed by T. Kaluza back in 1922. The associated speed of propagation is slightly lower than the speed of light by a factor inversely proportional to the specific charge of the fluid element. Moreover, consistency with the second law of thermodynamics is achieved. Possible implications in the context of physics of clusters of galaxies of this result are briefly discussed.

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