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Prog. Theor. Phys. Vol. 59 No. 6 (1978) pp. 1860-1869

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

G. G. Asgekar and T. H. Date

Department of Mathematics, Shivaji University, Kolhapur-416 004, India

(Received July 25, 1977)

Abstract:

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 if 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 isotropic pressure also remains constant along these lines. The magnetofluid degenerates to a `Zeldovich' magnetofluid, if and only if the magnitude of the magnetic field conserves along the flow vector when the Killing magnetic lines propagate with the fundamental velocity.

URL : http://ptp.ipap.jp/link?PTP/59/1860/
DOI : 10.1143/PTP.59.1860

[ Full Text PDF : FREE ACCESS (655K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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