Strong coupling expansion for general relativity

Details Strong coupling expansion for general relativity Strong coupling expansion for general relativity

2005-08-31

arxiv.org/abs/hep-th/0508246v3

Int.J.Mod.Phys. D15 (2006) 1373-1386

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures. Final version accepted for publication in International Journal of Modern Physics D

Scientific paper

10.1142/S0218271806009091

Strong coupling expansion is computed for the Einstein equations in vacuum in the Arnowitt-Deser-Misner (ADM) formalism. The series is given by the duality principle in perturbation theory as presented in [M.Frasca, Phys. Rev. A 58, 3439 (1998)]. An example of application is also given for a two-dimensional model of gravity expressed through the Liouville equation showing that the expansion is not trivial and consistent with the exact solution, in agreement with the general analysis. Application to the Einstein equations in vacuum in the ADM formalism shows that the spacetime near singularities is driven by space homogeneous equations.

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