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Wave Equation On Spherically Symmetric Lorentzian Metrics, Ashfaque H. Bokhari, Ahmad Y. Al-Dweik, A. H. Kara, Munawar Karim

Physics Faculty/Staff Publications

Wave equation on a general spherically symmetric spacetime metric is constructed. Noether symmetries of the equation in terms of explicit functions of θ and ϕ are derived subject to certain differential constraints. By restricting the metric to flat Friedman case the Noether symmetries of the wave equation are presented. Invertible transformations are constructed from a specific subalgebra of these Noether symmetries to convert the wave equation with variable coefficients to the one with constant coefficients.