Constitutive equations for heat conduction in general relativity

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Abstract
A heat flux constitutive equation is derived in three approximations from a general functional constitutive equation which describes heat conduction in so-called 'simple' thermodeformable media in general relativity. The three approximations correspond to materials having a so-called 'fading memory', and infinitely short memory, and materials of the 'rate-type', respectively. The third approximation may contain the other two as particular cases. Within the frame of the approximations made for isotropic materials, it is shown that interactions between the different transport phenomena, eg, heat flow and viscosity, cannot be accounted for.