Static axially symmetric solutions in Nordtvedt's theory

Computer Science

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Gravitation Theory, Quasars, Red Shift, Relativity, Conformal Mapping, Cosmology, Scalars, Space-Time Functions, Symmetry, Tensor Analysis

Scientific paper

Static axially symmetric solutions in vacuum are obtained in the general scalar-tensor theory proposed by Nordtvedt. The solutions are asymptotically flat and under certain conditions give very large red shift. The asymptotic behavior and singularity are studied and a comparison is made with a corresponding solution with spherical symmetry. It is also observed that with a conformal transformation the Nordtvedt metric appears to reduce to the Brans-Dicke one.

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