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- Title
The linearization method and new classes of exact solutions in cosmology.
- Authors
Yurov, A. V.; Astashenok, A. V.
- 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 N constants, where 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.
- Subjects
METAPHYSICAL cosmology; BASES (Linear topological spaces); BESSEL functions; LINEAR differential equations; DIFFERENTIAL equations; LINEAR systems; RATIONAL numbers
- Publication
Theoretical & Mathematical Physics, 2009, Vol 158, Issue 2, p262
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-009-0021-7