On CosmologicalType Solutions in MultiDimensional Model with GAUSSBONNET Term
Abstract
A (n + 1)dimensional EinsteinGaussBonnet (EGB) model is considered. For diagonal cosmologicaltype metrics, the equations of motion are reduced to a set of Lagrange equations. The effective Lagrangian contains two "minisuperspace" metrics on R^n. The first one is the wellknown 2metric of pseudoEuclidean signature and the second one is the Finslerian 4metric that is proportional to ndimensional BerwaldMoor 4metric. When a "synchronouslike" time gauge is considered the equations of motion are reduced to an autonomous system of firstorder differential equations. For the case of the "pure" GaussBonnet model, two exact solutions with powerlaw and exponential dependence of scale factors (with respect to "synchronouslike" variable) are obtained. (In the cosmological case the powerlaw solution was considered earlier in papers of N. Deruelle, A. Toporensky, P. Tretyakov and S. Pavluchenko.) A generalization of the effective Lagrangian to the Lowelock case is conjectured. This hypothesis implies existence of exact solutions with powerlaw and exponential dependence of scale factors for the "pure" Lowelock model of mth order.
 Publication:

International Journal of Geometric Methods in Modern Physics
 Pub Date:
 2010
 DOI:
 10.1142/S0219887810004555
 arXiv:
 arXiv:0910.3426
 Bibcode:
 2010IJGMM..07..797I
 Keywords:

 High Energy Physics  Theory
 EPrint:
 24 pages, Latex, typos are eliminated