Filipe C Mena and Paul Tod 2007 Class. Quantum Grav. 24 1733 doi:10.1088/0264-9381/24/7/004
Filipe C Mena1 and Paul Tod2
Show affiliationsWe 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.
04.20.-q Classical general relativity
02.40.-k Geometry, differential geometry, and topology
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 7 (7 April 2007)
Received 16 December 2006, in final form 9 February 2007
Published 13 March 2007
Filipe C Mena and Paul Tod 2007 Class. Quantum Grav. 24 1733
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