Lagrangian formulation for Mathisson-Papapetrou-Tulczyjew-Dixon equations

Walberto Guzmán Ramírez, Alexei A. Deriglazov

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


We obtain Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations of a rotating body with given values of spin and momentum starting from Lagrangian action without auxiliary variables. MPTD equations correspond to the minimal interaction of our spinning particle with gravity. We briefly discuss some novel properties deduced from the Lagrangian form of MPTD equations: the emergence of an effective metric instead of the original one, the noncommutativity of coordinates of the representative point of the body, spin corrections to the Newton potential due to the effective metric, as well as spin corrections to the expression for integrals of motion of a given isometry.

Original languageEnglish
Article number124017
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number12
Publication statusPublished - 8 Dec 2015

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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