Highly relativistic spin-gravity coupling for fermions

Abstract

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.

6 pages

References in corpus (24)

• Fermions with Lorentz-violating operators of arbitrary dimension
• Hamiltonian of a spinning test-particle in curved spacetime
• Semiclassical limit for Dirac particles interacting with a gravitational field
• Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
• Multipolar equations of motion for extended test bodies in General Relativity
• Equivalence principle and experimental tests of gravitational spin effects
• Spin in an arbitrary gravitational field
• Dirac fermions in strong gravitational fields
• Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field
• Can gravitation accelerate neutrinos?
• Bobbing and Kicks in Electromagnetism and Gravity
• Canonical formulation of self-gravitating spinning-object systems
• Highly relativistic circular orbits of spinning particle in the Kerr field
• Mathisson-Papapetrou-Dixon equations in the Schwarzschild and Kerr backgrounds
• Gravitational ultrarelativistic spin-orbit interaction and the weak equivalence principle
• Dirac equations in curved space-time versus Papapetrou spinning particles
• Ultrarelativistic circular orbits of spinning particles in a Schwarzschild field
• Lorentz violation in a uniform newtonian gravitational field
• Highly relativistic spinning particle in the Schwarzschild field: Circular and other orbits
• Highly relativistic spinning particle starting near $r_{ph}^{(-)}$ in a Kerr field
• Curvature-spin coupling from the semi-classical limit of the Dirac equation
• Gravitational ultrarelativistic interaction of classical particles in the context of unification of interactions
• Spin effects and compactification
• Tangent Euler Top in General Relativity

Cited by in corpus (12)

• Antigravity: Spin-gravity coupling in action
• Local Lorentz transformations and Thomas effect in general relativity
• Highly relativistic spin-gravity-$\Lambda$ coupling
• Collision of Two Rotating Hayward Black Holes
• Bouncing Dirac particles: compatibility between MIT boundary conditions and Thomas precession
• Nonequatorial circular orbits of spinning particles in the Schwarzschild-de Sitter background
• Coalescence of Kerr Black Holes: Binary Systems from GW150914 to GW170814
• Spin Interaction under the Collision of Two Kerr-(anti-)de Sitter Black Holes
• Numerical solution of Mathisson-Papapetrou-Dixon equations for spinning test particles in a Kerr metric
• The precession of particle spin in spherical symmetric spacetimes
• On physics of a highly relativistic spinning particle in the gravitational field
• Could Geoneutrinos Interact With the Geomagnetic Field?