2017/09/30 by Walberto Guzmán Ramírez, Alexei A. Deriglazov · 1 citation
Mathematics · Physics and Astronomy · #Binary number #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gravitation #Hamiltonian (control theory) #Mathematical physics #Mathematics #Moment (physics) #Newtonian fluid #Noncommutative and Quantum Gravity Theories #Physics #astro-ph.HE #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.96.124013
published as Phys. Rev. D 96, 124013 (2017) · 21 pages
arxiv created 2017/10/02 · openalex publication_date 2017/12/12 · arxiv updated 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the exact Hamiltonian (and corresponding Dirac brackets) for a spinning particle with gravimagnetic moment \ensuremathκ in an arbitrary gravitational background. The case \ensuremathκ=0 corresponds to the Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations. \ensuremathκ=1 leads to modified MPTD equations with improved behavior in the ultrarelativistic limit. So we study the modified equations in the leading post-Newtonian approximation. The rotating body with unit gravimagnetic moment has qualitatively different behavior as compared with the MPTD body: (A) If a number of gyroscopes with various rotation axes are freely traveling together, the angles between the axes change with time. (B) For specific binary systems, gravimagnetic moment gives a contribution to the frame-dragging effect with the magnitude that turns out to be comparable with that of Schiff frame dragging.