Abstract
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 language | English |
|---|---|
| Article number | 124017 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 92 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 8 Dec 2015 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
Cite this
Lagrangian formulation for Mathisson-Papapetrou-Tulczyjew-Dixon equations. / Ramírez, Walberto Guzmán; Deriglazov, Alexei A.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 92, No. 12, 124017, 08.12.2015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Lagrangian formulation for Mathisson-Papapetrou-Tulczyjew-Dixon equations
AU - Ramírez, Walberto Guzmán
AU - Deriglazov, Alexei A.
PY - 2015/12/8
Y1 - 2015/12/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84952333926&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84952333926&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.92.124017
DO - 10.1103/PhysRevD.92.124017
M3 - Article
AN - SCOPUS:84952333926
VL - 92
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 12
M1 - 124017
ER -