Symmetry in Nonlinear Mathematical Physics - 2009

Sergey Vernov (Skobeltsyn Institute of Nuclear Physics of Lomonosov Moscow State University, Moscow, Russia)

Localization of nonlocal cosmological models with quadratic potentials

We study models with a single free non-local scalar field originating from the string field theory description of the rolling tachyon dynamics. We proved that the considering non-local model is equivalent to an infinite number of local models and found exact special solutions of the non-local Friedmann equations.

The report is based on two papers: I.Ya. Aref'eva, L.V. Joukovskaya, S.Yu. Vernov, J. Phys A 41 (2008) 304003, arXiv:0711.1364 and A.S. Koshelev, S.Yu. Vernov, arXiv:0903.5176, and recent investigations.