Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-11-25
Phys.Rev. D62 (2000) 044009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
revtex, minor clarifications, to appear in Physical Review D
Scientific paper
10.1103/PhysRevD.62.044009
We examine the possibility that the gravitational contribution to the entropy of a system can be identified with some measure of the Weyl curvature. In this paper we consider homothetically self-similar spacetimes. These are believed to play an important role in describing the asymptotic properties of more general models. By exploiting their symmetry properties we are able to impose significant restrictions on measures of the Weyl curvature which could reflect the gravitational entropy of a system. In particular, we are able to show, by way of a more general relation, that the most widely used "dimensionless" scalar is \textit{not} a candidate for this measure along homothetic trajectories.
Lake Kayll
Pelavas Nicos
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