Strong Coupling Expansion for General Relativity
Abstract
Strong coupling expansion is computed for the Einstein equations in vacuum in the ArnowittDeserMisner (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 twodimensional 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.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2006
 DOI:
 10.1142/S0218271806009091
 arXiv:
 arXiv:hepth/0508246
 Bibcode:
 2006IJMPD..15.1373F
 Keywords:

 Strong coupling expansion;
 ADM formalism;
 homogeneous solutions;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 13 pages, no figures. Final version accepted for publication in International Journal of Modern Physics D