Velocity-dependent inverse cubic force and solar system gravity tests

Understand

Higher mass dimension terms in an effective field theory framework for tests of spacetime symmetries are studied.

• Using a post-Newtonian expansion method, we derive the spacetime metric and the equations of motion for a binary system.
• This reveals an inverse cubic force correction to General Relativity that depends on the velocity of the bodies in the system.
• The results are studied in the context of laboratory and space-based tests including the effects on solar-system ephemeris, laser ranging observations, and gravimeter tests.