Lanczos potentials and a definition of gravitational entropy for perturbed FLRW space-times

Abstract

We give a prescription for constructing a Lanczos potential for a cosmological model which is a purely gravitational perturbation of a Friedman-Lemaitre-Robertson-Walker space-time. For the radiation equation of state, we find the Lanczos potential explicitly via Fourier transforms. As an application, we follow up a suggestion of Penrose and propose a definition of gravitational entropy for these cosmologies. With this definition, the gravitational entropy initially is finite if and only if the initial Weyl tensor is finite.

arXiv comment16 pages, submitted for publication in Classical and Quantum Gravity

References in corpus (3)

• Information Entropy in Cosmology
• Measures of gravitational entropy I. Self-similar spacetimes
• Evolution of the density contrast in inhomogeneous dust models

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