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Phys. Rev. D 14, 1511–1517 (1976)

Anisotropic parametrized post-Newtonian gravitational metric field

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K. Nordtvedt, Jr.
Montana State University, Bozeman, Montana 59715

Received 17 February 1976; published in the issue dated 15 September 1976

The anisotropic generalization of the parametrized 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 × 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.

© 1976 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.14.1511
DOI:
10.1103/PhysRevD.14.1511
PACS: