Motion of Charged Spinning Particles in a Unified Field (original) (raw)

Motion of a Vector Particle in a Curved Spacetime III: Development of Techniques of Calculations

Modern Physics Letters A, 2006

The studies of influence of spin on a photon's motion in a Schwarzschild spacetime is continued. In the previous paper13 the first-order correction to the geodesic motion is found for the first half of the photon world line. The system of equations for the first-order correction to the geodesic motion is reduced to a non-uniform linear ordinary differential equation. The equation obtained is solved by the standard method of integration of the Green function.

Motion of a Vector Particle in a Curved Spacetime. I. Lagrangian Approach

Modern Physics Letters A, 2003

From the simple Lagrangian the equations of motion for the particle with spin are derived. The spin is shown to be conserved on the particle world-line. In the absence of a spin the equation coincides with that of a geodesic. The equations of motion are valid for massless particles as well, since mass does not enter the equations explicitely.

Intrinsic geometry of curves and the Lorentz equation

Czechoslovak Journal of Physics - CZECH J PHYS, 2002

We show that the trajectory of a point charge in a uniform electromagnetic field is a helix if the Lorentz equation governs its motion. Our approach is totally relativistic, and it is based on the use of the Frenet-Serret formulae which describe the intrinsic geometry of world lines in Minkowski spacetime.

On Reaction of a Spinning Particle on the Spacetime Curvature

Ukrainian Journal of Physics, 2019

The reaction of a classical (nonquantum) spinning particle on the spacetime curvature according to the Mathisson–Papapetrou equations is analyzed. From the point of view of the observer comoving with the particle in Schwarzschild’s field, this reaction is a reaction on the gravitomagnetic components of the gravitational field. The values of these components significantly depend on the relativistic Lorentz factor calculated by the particle velocity relative to the Schwarzschild mass. As a result, the value of the spinning particle acceleration relative to the geodesic motion is proportional to the second power of the Lorentz factor. At the same time, the intensity of the electromagnetic radiation of a charged spinning particle is proportional to the fourth power of this factor. Some numerical estimates are presented.

Spacetime dynamics of spinning particles: Exact electromagnetic analogies

Physical Review D, 2016

We compare the rigorous equations describing the motion of spinning test particles in gravitational and electromagnetic fields, and show that if the Mathisson-Pirani spin condition holds then exact gravito-electromagnetic analogies emerge. These analogies provide a familiar formalism to treat gravitational problems, as well as a means for comparing the two interactions. Fundamental differences are manifest in the symmetries and time projections of the electromagnetic and gravitational tidal tensors. The physical consequences of the symmetries of the tidal tensors are explored comparing the following analogous setups: magnetic dipoles in the field of non-spinning/spinning charges, and gyroscopes in the Schwarzschild, Kerr, and Kerr-de Sitter spacetimes. The implications of the time projections of the tidal tensors are illustrated by the work done on the particle in various frames; in particular, a reciprocity is found to exist: in a frame comoving with the particle, the electromagnetic (but not the gravitational) field does work on it, causing a variation of its proper mass; conversely, for "static observers", a stationary gravitomagnetic (but not a magnetic) field does work on the particle, and the associated potential energy is seen to embody the Hawking-Wald spin-spin interaction energy. The issue of hidden momentum, and its counterintuitive dynamical implications, is also analyzed. Finally, a number of issues regarding the electromagnetic interaction and the physical meaning of Dixon's equations are clarified.

Spinning particles in general relativity

Physics Letters B, 1980

A lagranglan which leads to the standard equations for a spinning particle in a gravitational field (with torsion) is presented. It, leads to the correct grawtational field equations as well. For zero gravatatlonal field, the present approach gives a lagrangian description for any unitary irreducible representation of the connected Poincar~ group.

On the geometrization of the electro-magnetic interaction for a spinning particle

2006

We outline that, in a Kaluza-Klein framework, not only the electro-magnetic field can be geometrized, but also the dynamics of a charged spinning particle can be inferred from the motion in a 5-dimensional space-time. This result is achieved by the dimensional splitting of Papapetrou equations and by proper identifications of 4-dimensional quantities.