Invariances and Conservation Laws Based on Some FRW Universes

Camci U., Jamal S., Kara A. H.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.53, no.5, pp.1483-1494, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 5
  • Publication Date: 2014
  • Doi Number: 10.1007/s10773-013-1948-x
  • Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1483-1494
  • Keywords: FRW metric, Conservation laws, Noether symmetries, NOETHER SYMMETRIES, COLLINEATIONS, EQUATIONS, LIE
  • Akdeniz University Affiliated: Yes

Abstract

A symmetry analysis of some special classes of Friedmann-Robertson-Walker (FRW) universe and nonlinear wave equations in this geometry are performed. Conserved forms for the wave equation are constructed by the application of Noether's theorem. We illustrate how the symmetry structure is used to reduce the wave equation leading to some exact solutions.