Geodesic
Classical Solutions of the Perturbed Wave Equation with Singular Potential
Acta mathematica Universitatis Comenianae, Tome 72 (2003) no. 2 
A. Vaidya; G. A. Sparling. Classical Solutions of the Perturbed Wave Equation with Singular Potential. Acta mathematica Universitatis Comenianae, Tome 72 (2003) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2003_72_2_a3/
@article{AMUC_2003_72_2_a3,
     author = {A. Vaidya and G. A. Sparling},
     title = {Classical {Solutions} of the {Perturbed} {Wave} {Equation} with {Singular} {Potential}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2003},
     volume = {72},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2003_72_2_a3/}
}
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This paper discusses the solutions to the perturbed wave equation containing a singular potential term in the Lorentzian metric. We present the classical solution to the problem using the separation of variables method for any dimension, $n$. Special solutions are obtained for even $n$'s and properties of these solutions are discussed. Finally, we also consider the solution to the Cauchy problem for the case $n=2$.