On Noether Symmetries of the Klein-Gordon Equation in Some pp-Wave Spacetimes

Camci U.

14th Regional Conference on Mathematical Physics, Islamabad, Pakistan, 9 - 14 November 2015, pp.36-49 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Islamabad
  • Country: Pakistan
  • Page Numbers: pp.36-49
  • Keywords: pp-Wave Spacetime, Noether Symmetry, Klein-Gordon Equation, CONSERVATION-LAWS, CURVATURE
  • Akdeniz University Affiliated: Yes

Abstract

In this study, we derive the Noether symmetries of the Klein-Gordon equation in the background of some pp-wave spacetimes. To get the Klein-Gordon equation in some of the pp-wave spacetimes, where the metric function H(u, y, z) of the pp-wave spacetime is taken as H = K (az - by)(-2) and H = Ke(2)(ay-bz), we construct a Lagrangian of the model. Using the obtained Lagrangian for those spacetimes, we calculate and classify Noether symmetry generators. Furthermore, we give conservation laws for the corresponding Noether symmetries of the Klein-Gordon equation in the considered pp-wave spacetimes.