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

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

2007-02-09

arxiv.org/abs/gr-qc/0702057v1

Class.Quant.Grav.24:1733-1746,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, submitted for publication in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/24/7/004

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.

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