Abstract
Explicit vacuum field equations in the general scalar-tensor theory of gravitation proposed by Nordtvedt are obtained with the aid of the most general conformally flat spherically-symmetric static space-time. It is shown that the most general conformally flat spherically-symmetric static solution of Nordtvedt-Barker vacuum field equations is simply the empty flat space-time of general relativity.
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Shanthi, K. Conformally flat static space-time in the general scalar-tensor theory of gravitation. Astrophys Space Sci 162, 163–165 (1989). https://doi.org/10.1007/BF00653353
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DOI: https://doi.org/10.1007/BF00653353