Anisotropic parametrized post-Newtonian gravitational metric field

Physics

Scientific paper

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Anisotropic Media, Field Theory (Physics), Gravitation Theory, Gravitational Fields, Metric Space, Celestial Mechanics, Conservation Laws, Equations Of Motion, Newton Theory, Relativity, Two Body Problem

Scientific paper

The anisotropic generalization of the parameterized post-Newtonian (PPN) gravitational metric field is made for the case of theories with energy and momentum conservation laws. Such an anisotropic metric field will generally result in two-tensor or bimetric theories of gravity in an anisotropic universe. New anisotropic 3 x 3 spatial PPN matrices are introduced into the general metric expansion. Earth gravimeter measurements strongly restrict some anisotropies, while anisotropic inertial and gravitational mass for celestial bodies result from other combinations of the PPN matrices.

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