2013/11/30 by Walberto Guzmán Ramírez, Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curved space #Dipole #Electron #Equations of motion #Field (mathematics) #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Quantum mechanics #Space (punctuation) #Spin (aerodynamics) #Spinning #Tensor (intrinsic definition) #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep03(2014)109
published as JHEP 03 (2014) 109 · 19 pages, minor changes requested by the referee, references added
openalex publication_date 2014/03/01 · arxiv created 2014/03/03 · arxiv updated 2014/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We develop a variational formulation of a particle with spin in a curved space-time background. The model is based on a singular Lagrangian which provides equations of motion, a fixed value of spin and Frenkel condition on spin-tensor. Comparing our equations with those of Papapetrou we conclude that the Frenkel electron in a gravitational field has the same behavior as a rotating body in the pole-dipole and leading-spin approximation. Due to constraints presented in the formulation, position space is endowed with a noncommutative structure induced by the spin of the particle. Therefore, the model provides a physically interesting example of a noncommutative particle in a curved background.