Wave Equation on Spherically Symmetric Lorentzian Metrics

Authors

Ashfaque H. Bokhari, King Fahd University of Petroleum and Minerals
Ahmad Y. Al-Dweik, King Fahd University of Petroleum and Minerals,
A. H. Kara, University of the Witwatersrand
Munawar Karim, Saint John Fisher UniversityFollow

Document Type

Article

Publication Date

6-2011

Keywords

Partial-Differential Equations, Conservation-Laws, Noether, Separation, Variables

Abstract

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.

DOI

10.1063/1.3597232

Comments

© 2011, American Institute of Physics. Original publication is available at http://link.aip.org/link/doi/10.1063/1.3597232

Publication Information

Bokhari, Ashfaque H.; Al-Dweik, Ahmad Y.; Kara, A. H.; and Karim, Munawar (2011). "Wave Equation on Spherically Symmetric Lorentzian Metrics." Journal of Mathematical Physics 52.6.

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