Relativistic effects due to gravimagnetic moment of a rotating body

Understand

We compute exact Hamiltonian (and corresponding Dirac brackets) for spinning particle with gravimagnetic moment $\kappa$ in an arbitrary gravitational background.

• $\kappa=0$ corresponds to the Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations.
• $\kappa=1$ leads to modified MPTD equations with reasonable behavior in the ultrarelativistic limit.
• So we study the modified equations in the leading post-Newtonian approximation.