Symmetries, conservation laws, reductions, and exact solutions for the Klein-Gordon equation in de Sitter space-times

S. Jamal; A. H. Kara; Ashfaque H. Bokhari

doi:10.1139/p2012-065

Symmetries, conservation laws, reductions, and exact solutions for the Klein-Gordon equation in de Sitter space-times

S. Jamal
, A. H. Kara^*
, Ashfaque H. Bokhari

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

In this paper, we complement the analysis involving the "fundamental" solutions of the Klein-Gordon equation in de Sitter space-times given by Yagdjian and A. Galstian (Comm. Math. Phys. 285, 293 (2009); Discrete and Continuous Dynamical Systems S, 2(3), 483 (2009)). Using the symmetry generators, we classify and reduce the underlying equations and show how this process may lead to exact solutions by quadratures.

Original language	English
Pages (from-to)	667-674
Number of pages	8
Journal	Canadian Journal of Physics
Volume	90
Issue number	7
DOIs	https://doi.org/10.1139/p2012-065
State	Published - Jul 2012

ASJC Scopus subject areas

General Physics and Astronomy

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Symmetries, conservation laws, reductions, and exact solutions for the Klein-Gordon equation in de Sitter space-times

Abstract

ASJC Scopus subject areas

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