Multipole expansion of the gravitational field in a general class of fourth-order theories of gravity and the application in gyroscopic precession

Bofeng Wu, En-Wei Liang

A viable weak-field and slow-motion approximation method is constructed in $F(R,R_{\hat{I}¼\hat{I}½}{R}^{\hat{I}¼\hat{I}½},R_{\hat{I}¼\hat{I}½\ddot{I}\ddot{I}ƒ}{R}^{\hat{I}¼\hat{I}½\ddot{I}\ddot{I}ƒ})$ gravity, a general class of fourth-order theories of gr…