On Local Behaviour of Congruences in Self-Gravitating Viscous, Compressible Thermally Conducting Fluid with Infinite Electrical Conductivity and Constant Magnetic Permeability

概要

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The general relativistic heat transfer equation for self-gravitating magnetofluid is derived and it is proved that the entropy generation is positive. It is shown that (i) for Born rigid flow of magnetofluid with divergence-free heat flux vector the energy density is conserved along the world line, if and only of the 4-acceleration is orthogonal to the heat-flux vector, (ii) the magnitude of the magnetic field remains invariant along the Born rigid flow. Similar results are obtained in case of Boost flow of the magnetofluid. For an essentially expanding flow of magnetofluid the magnetic lines are divergence-free. Moreover, if the rest temperature is constant along the magnetic lines. The magnetofluid degenerates to a 'Zeldovich' magnetofluid, if and only of the magnitude of the magnetic field conserves along the flow vector when the Killing magnetic lines propagate with the fundamental velocity.
理論物理学刊行会の論文
1978-06-25