2015/03/13 by Roman Plyatsko, Mykola Fenyk · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Dirac (video compression format) #Dirac equation #Dirac fermion #Electron #Fermion #Fermionic field #Field (mathematics) #General relativity #Gravitation #Gravitational field #Neutrino #Noncommutative and Quantum Gravity Theories #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Relativistic particle #Relativistic quantum chemistry #Spin (aerodynamics) #acm:83 #astro-ph.HE #gr-qc #hep-ex #hep-th #msc:83
paper · pdf · doi:10.1103/physrevd.91.064033
published as Physical Review D 91, 064033 (2015) · 6 pages
openalex publication_date 2015/03/13 · arxiv created 2015/03/29 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Descriptions of highly relativistic fermions in a gravitational field in the classical (nonquantum) and quantum approaches are discussed. The results following from the Mathisson-Papapetrou equations for a fast spinning particle in Schwarzschild's and Kerr's background are considered. Numerical estimates for electron, proton and neutrino in the gravitational field of black holes are presented. The general relativistic Dirac equation is analyzed from the point of view it is using for the adequate description of highly relativistic fermions in a gravitational field, in the linear and nonlinear spin approximation. It is necessary to have some corrected Dirac equation for a highly relativistic fermion with strong spin-gravity coupling.