The linearization method and new classes of exact solutions in cosmology
Abstract
We develop a method for constructing exact cosmological solutions of the Einstein equations based on representing them as a second-order linear differential equation. In particular, the method allows using an arbitrary known solution to construct a more general solution parameterized by a set of 3\textit{N} constants, where \textit{N} is an arbitrary natural number. The large number of free parameters may prove useful for constructing a theoretical model that agrees satisfactorily with the results of astronomical observations. Cosmological solutions on the Randall-Sundrum brane have similar properties. We show that three-parameter solutions in the general case already exhibit inflationary regimes. In contrast to previously studied two-parameter solutions, these three-parameter solutions can describe an exit from inflation without a fine tuning of the parameters and also several consecutive inflationary regimes.
Cite
@article{arxiv.0902.1979,
title = {The linearization method and new classes of exact solutions in cosmology},
author = {A. V. Yurov and A. V. Astashenok},
journal= {arXiv preprint arXiv:0902.1979},
year = {2009}
}
Comments
7 pages