Plane wave solutions in scalar tensor theories and solutions of source-free Einstein--Maxwell theory
Vacuum solutions of the field equations that satisfy the original notion of the plane wave, namely g/sub ..mu..//sub ..nu../=g/sub ..mu..//sub ..nu../(Z), Z=..sigma../sub ..mu../a..mu..x/sup ..mu../, a/sub ..mu../'s being constants and g/sup ..mu..//sup ..nu../Z,/sub ..mu../Z,/sub ..nu../=0, are sought for both Brans--Dicke scalar--tensor theory and the more recent scalar--tensor theory due to Sen and Dunn. (Here Greek letters range from 1 to 4 and Latin letters from 1 to 3.) A complete set of solutions are obtained for both cases. Although not required at the outset, it turns out that, in both cases, the scalar field is also function of Z alone. As a by-product, one gets the complete set of solutions of the Einstein--Maxwell equations for the null electromagnetic field for the cases when g/sub ..mu..//sub ..nu../ satisfies the above-mentioned requirement. (AIP)
- Research Organization:
- Department of Physics, New York University, New York, New York 10003
- OSTI ID:
- 7323148
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:2; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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