Wave equation on spherically symmetric Lorentzian metrics

Journal Article · Wed Jun 15 00:00:00 EDT 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3597232· OSTI ID:21501353

Bokhari, Ashfaque H; Al-Dweik, Ahmad Y; Zaman, F D ^[1]; Kara, A H ^[2]; Karim, M ^[3]

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1. Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261 (Saudi Arabia)
2. School of Mathematics, University of the Witwatersrand, Johannesburg (South Africa)
3. Department of Physics, St. John Fisher College, Rochester, New York 14618 (United States)

Wave equation on a general spherically symmetric spacetime metric is constructed. Noether symmetries of the equation in terms of explicit functions of {theta} and {phi} 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.

• OSTI ID: 21501353
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 6; Other Information: DOI: 10.1063/1.3597232; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGEBRA
CONSERVATION LAWS
FUNCTIONS
METRICS
NONLINEAR PROBLEMS
SPACE-TIME
SYMMETRY
TRANSFORMATIONS
WAVE EQUATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS