2024•SymmetryOpen access

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

Uğur Camcı

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.

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Key concepts: Noether's theorem, Spacetime, Mathematical physics, Spacetime symmetries, Symmetry (geometry), Physics, Klein–Gordon equation, Lagrangian