The linearization method and new classes of exact solutions in cosmology

Details The linearization method and new classes of exact solutions in cosmology The linearization method and new classes of exact solutions in cosmology

2009-02-11

arxiv.org/abs/0902.1979v1

Theor.Math.Phys.158:261-268,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

7 pages

Scientific paper

10.1007/s11232-009-0021-7

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.

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