Exact solutions of nonlocal nonlinear field equations in cosmology

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Mar 2011Embargo end date: 01 Jan 2010 English Publisher:Springer Science and Business Media LLCJournal:Theoretical and Mathematical Physics, volume 166, pages 392-402 (issn: 0040-5779, eissn: 1573-9333,

Copyright policy )Funded by:FCT | D4

Authors: Vernov, S. Yu.;

doi: 10.1007/s11232-011-0031-0 , 10.48550/arxiv.1005.5007

arXiv: 1005.5007

handle: 10261/37464

Exact solutions of nonlocal nonlinear field equations in cosmology

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Abstract

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.

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

Related Organizations

Lomonosov Moscow State University
Russian Federation

Keywords

Elliptic function, High Energy Physics - Theory, Cosmology and Nongalactic Astrophysics (astro-ph.CO), exact solution, Walker metric, FOS: Physical sciences, Exact solutions to problems in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, Friedmann-Robertson, Nonlocal scalar field, Einstein's equations (general structure, canonical formalism, Cauchy problems), nonlocal scalar field, Exact solutions, Mathematical Physics, Relativistic cosmology, elliptic function, Exact solution, Friedmann-Robertson-Walker metric, Mathematical Physics (math-ph), Cosmology, Elliptic functions and integrals, High Energy Physics - Theory (hep-th), cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics

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