2013/01/31 by Dirk Puetzfeld, Yuri N. Obukhov · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Curvature #Equations of motion #General relativity #Geometry #Gravitation #Mathematical physics #Mathematics #Motion (physics) #Physics #Pulsars and Gravitational Waves Research #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.87.044045
published as Phys. Rev. D 87, 044045 (2013) · 8 pages, RevTex format, 2 additional references, small typos fixed
openalex publication_date 2013/02/21 · arxiv created 2013/03/04 · arxiv updated 2013/03/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a covariant derivation of the equations of motion for test bodies for a wide class of gravitational theories with nonminimal coupling, encompassing a general interaction via the complete set of nine parity-even curvature invariants. The equations of motion for spinning test bodies in such theories are explicitly derived by means of Synge's expansion technique. Our findings generalize previous results in the literature and allow for a direct comparison to the general relativistic equations of motion of pole-dipole test bodies.