|
This article is cited in 2 scientific papers (total in 2 papers)
The linearization method and new classes of exact solutions in cosmology
A. V. Yurov, A. V. Astashenok Immanuel Kant State University of Russia
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 $3N$ 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.
Keywords:
cosmology, inflation, exact solution.
Received: 06.01.2008 Revised: 13.03.2008
Citation:
A. V. Yurov, A. V. Astashenok, “The linearization method and new classes of exact solutions in cosmology”, TMF, 158:2 (2009), 312–320; Theoret. and Math. Phys., 158:2 (2009), 262–269
Linking options:
https://www.mathnet.ru/eng/tmf6316https://doi.org/10.4213/tmf6316 https://www.mathnet.ru/eng/tmf/v158/i2/p312
|
Statistics & downloads: |
Abstract page: | 748 | Full-text PDF : | 259 | References: | 60 | First page: | 15 |
|