Abstract
Vacuum field equations for the static and non-static plane-symmetric metric are obtained in self-creation theory of gravitation proposed by Barber (1982). It is shown that, in both static and non-static cases, the only plane-symmetric solution in vacuum is the empty flat space-time of Einstein's theory. It is observed that this result is quite different from that of the Brans-Dicke and other scalar-tensor theories of gravitation.
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Venkateswarlu, R., Reddy, D.R.K. Plane-symmetric vacuum in self-creation cosmology. Astrophys Space Sci 150, 379–382 (1988). https://doi.org/10.1007/BF00641731
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DOI: https://doi.org/10.1007/BF00641731