Abstract
Using nonscattering potentials of Chang and Janis, a large class of spherically symmetric space-times is constructed on which all multipole solutions to the minimally coupled scalar wave equation are expressible in terms of characteristic data functions in essentially as simple a fashion as for flat space-time. The space-times are transparent to multipole waves in the same sense that flat space-time is. Both conformally flat and not conformally flat space-times are obtained. Some examples are discussed which show that the variety of transparent space-times is large even within the class of Robertson-Walker spaces.
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Couch, W.E., Torrence, R.J. Spherically symmetric space-times transparent to scalar multipole waves. Gen Relat Gravit 18, 767–780 (1986). https://doi.org/10.1007/BF00768639
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DOI: https://doi.org/10.1007/BF00768639