The geometric nature of approximate Noether gauge symmetries

Camci U.

GENERAL RELATIVITY AND GRAVITATION, vol.46, no.11, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 11
  • Publication Date: 2014
  • Doi Number: 10.1007/s10714-014-1824-x
  • Journal Name: GENERAL RELATIVITY AND GRAVITATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Spacetime, Approximate Noether gauge symmetry, Schwarzschild metric, Reissner-Nordstrom metric, GEODESIC EQUATIONS
  • Akdeniz University Affiliated: Yes

Abstract

We find the geometrical set of equations corresponding to the approximate Noether gauge symmetry conditions of the perturbed geodesic Lagrangian for spacetimes. Using the obtained new set of approximate Noether symmetry equations which involves exact, first-order and second-order metrics, we calculate exact, first-order and second-order approximate Noether gauge symmetry vectors of the geodesic Lagrangian for the potential function defining the dynamical system in spacetimes. We apply our geometrical method to each of the Schwarzschild metric and Reissner-Nordstrom metric.