Gravitational entropy of perturbed FRW models

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  • 19 August 2004
Abstract
The evolution of collapsing matter appears to be in contradiction to the second law of thermodynamics, which states that any closed thermodynamic system evolves towards states with equal or higher entropy. However, in the ordinary thermodynamic sense, less homogeneous states means less orderly state and hence also lower entropy states. Thus, gravitational collapse appears to decrease the entropy of the collapsing gas. In this article we consider both ordinary thermodynamic entropy and the hypothesized gravitational entropy in terms of the Weyl curvature hypothesis. It is the total entropy, which is the sum of these two types of entropies, which must evolve according to the second law of thermodynamics. We examine whether this is the case for some specific collapsing models.

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