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2007 Class. Quantum Grav. 24 1733-1745 doi: 10.1088/0264-9381/24/7/004
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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 spacetime. 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 (1979 Singularities and time-asymmetry General Relativity: An Einstein Centenary Survey ed S W Hawking and W Israel (Cambridge: Cambridge University Press)) 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.
PACS numbers: 04.20.Cv, 04.25.Nx, 98.80.Hw
Print publication: Issue 7 (7 April 2007) |
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