We consider an imperfect relativistic fluid which develops a shock wave and discuss its structure and thickness, taking into account the effects of viscosity and heat conduction in the form of sound absorption. The junction conditions and the non linear equations describing the evolution of the shock are derived with the corresponding Newtonian limit discussed in detail. As happens in the non relativistic regime, the thickness is inversely proportional to the discontinuity in the pressure, but… Expand

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

1961

The paper is concerned, with the relativistic theory of shock phenomena in a simple, nonconducting fluid. Three conditions on the equation of state are exhibited which yield the result (demanded by… Expand

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By… Expand

Abstract It is shown that in the propagation of shock waves through a gas-mixture diffusion produces effects similar to those of viscosity and thermal conduction. If the molecular weights of the two… Expand

The considerations of the first paper of this series are modified so as to be consistent with the special theory of relativity. It is shown that the inertia of energy does not obviate the necessity… Expand

In Part I of this paper the stress energy tensor and the mean velocity vector of a simple gas are expressed in terms of the Maxwell-Boltzman distribution function. The rest density ρ0, pressure, p,… Expand