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Abstract

A relativistic model of a heat conducting collapsing star, which includes thermal pre-relaxation processes, is presented. Particular attention is paid to the influence of a given parameter defined in terms of thermodynamic variables, on the outcome of evolution. Evaluation of the system when passing through a critical value of the aforesaid parameter, does not yield evidence of anomalous behaviour.

Letter: Measuring the Strength of Dissipative Inflation

“…Therefore, stronger inflationary expansions are related to larger values of α (for fixed U(t)). This result reinforces the physical meaning of α as a measure of the instability of the system (see [9]- [11], [17], [18]). All this suggests that α can be used as a "control parameter" of the strength of expansion in a given inflationary model driven by causal heat flux.…”

On the dual interpretation of zero-curvature Friedmann-Robertson-Walker models

“…Indeed, causality and stability requirements obtained from a linear perturbative scheme are violated, close to, but below the critical point (in the absence of viscosity) [6]. On the other hand however, examples of fluids attaining the critical point and exhibiting reasonable physical properties, have been presented elsewhere [7], [15].…”

Dynamics of viscous dissipative plane symmetric gravitational collapse

“…Herrera [13] provided comprehensive details of inertia of heat and how it plays an effective role in dynamics of dissipative collapse. Herrera and Martinez [14] presented relativistic model of heat conducting collapsing object and debated over the effect of a parameter which occurs in dynamical equation on collapse. Herrera and collaborators [15]- [16] proposed a model of shear free conformally flat collapse and focused on the role of relaxation process, local anisotropy and relation between dissipation and density inhomogeneity.…”