Post-Newtonian parameters of ghost-free parity-violating gravities

Abstract

We investigate the slow-motion and weak-field approximation of the general ghost-free parity-violating (PV) theory of gravity in the parametrized post-Newtonian (PPN) framework and derive the perturbative field equations, which are modified by the PV terms of this theory. The complete PPN parameters are obtained by solving the perturbative field equations. We find that all the PPN parameters are exactly the same as those in general relativity, except for an extra parameter $\kappa$, which is caused by the new curl-type term in the gravitomagnetic sector of the metric in this theory. We calculate the precession effects of gyroscopes in this theory and constrain the model parameters by the observations of the Gravity Probe B experiment.

20 pages, 1 figure

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• Polarized primordial gravitational waves in spatial covariant gravities
• Circularly polarized scalar induced gravitational waves from the Chern-Simons modified gravity
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• Slowly rotating black hole in chiral scalar-tensor theory
• Beyond general relativity: gravitational waves in non-minimally coupled theories
• Parameterized Post-Newtonian Analysis of Quadratic Gravity and Solar System Constraints