Exact Solutions for Nonlocal Nonlinear Field Equations in Cosmology

Details Exact Solutions for Nonlocal Nonlinear Field Equations in Cosmology Exact Solutions for Nonlocal Nonlinear Field Equations in Cosmology

2010-05-27

arxiv.org/abs/1005.5007v2

Theor.Math.Phys.166:392-402,2011

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, v2: Section 5 added, accepted for publication in Theor. Math. Phys

Scientific paper

10.1007/s11232-011-0031-0

A method for the search of exact solutions for equation of a nonlocal scalar field in a non-flat metric is considered. In the Friedmann-Robertson-Walker metric the proposed method can be used in the case of an arbitrary potential, with the exception of linear and quadratic potentials, and allows to get in quadratures solutions, which depend on two arbitrary parameters. Exact solutions have been found for an arbitrary cubic potential, which consideration is motivated by the string field theory, as well as for exponential, logarithmic and power potentials. It has been shown that one can add the k-essence field to the model to get exact solutions for all Einstein equations.

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