Covariant equations of motion for test bodies in gravitational theories with general nonminimal coupling

Dirk Puetzfeld and Yuri N. Obukhov
Phys. Rev. D 87, 044045 – Published 21 February 2013

Abstract

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.

  • Received 18 January 2013

DOI:https://doi.org/10.1103/PhysRevD.87.044045

© 2013 American Physical Society

Authors & Affiliations

Dirk Puetzfeld*

  • ZARM, University of Bremen, Am Fallturm, 28359 Bremen, Germany

Yuri N. Obukhov

  • Theoretical Physics Laboratory, Nuclear Safety Institute, Russian Academy of Sciences, B. Tulskaya 52, 115191 Moscow, Russia

  • *dirk.puetzfeld@zarm.uni-bremen.de; http://puetzfeld.org
  • yo@thp.uni-koeln.de

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Issue

Vol. 87, Iss. 4 — 15 February 2013

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