Relativistic Continuum Dynamics: The intrinsic Cauchy problem

摘要

By using the heat equations we deduce, in general relativity, the intrinsic Cauchy problem for a space-time curved by a thermo-dynamical Continuum system: applying non-holonomic techniques, we pose the problem in relative terms, in the ambit of an arbitrary frame of reference. Of course, we discover the typical relativistic links between spatial metric, energy, impulse, thermal flux and temperature, which again appear in the involutive constraints; thus, from the initial conditions, well-determined limitations also for the structure of the constitutive equations arise.