Noether Symmetry Analysis of the Klein--Gordon and Wave Equations in Bianchi I Spacetime

Abstract: We investigate the Noether symmetries of the Klein--Gordon Lagrangian for Bianchi I spacetime. This is accomplished using a set of new Noether symmetry relations for the Klein--Gordon Lagrangian of Bianchi I spacetime, which reduces to the wave equation in a special case. A detailed Noether symmetry analysis of the Klein--Gordon and the wave equations for Bianchi I spacetime is presented, and the corresponding conservation laws are derived.