Transverse momentum as a source of gravitoelectromagnetism

TL;DR

This paper explores how transverse momentum, beyond the usual convective type, influences the gravitoelectromagnetic field, especially in charged and spinning matter, extending the classical weak-field gravitational analogy to include new effects.

Contribution

It introduces the role of transverse momentum in gravitoelectromagnetism, expanding the traditional focus on collinear mass currents to include transverse components in various charged and spinning systems.

Findings

Transverse momentum affects the gravitoelectromagnetic field.

Charged spinning particles exhibit unique gravitoelectromagnetic effects.

Extensions to classical models incorporate transverse momentum contributions.

Abstract

Momentum can be regarded as a mass current that can be used as the source of the gravitoelectromagnetic field, which is the weak-field gravitational analogue of the classical electromagnetic field. Typically, gravitoelectromagnetic research considers only mass currents of convective type, which are collinear with the velocity vector field, but when one looks at charged fluids that interact with a background electromagnetic field or charged, spinning point-like matter, such as the Frenkel electron, or extended spinning mass distributions, such as the Dirac electron and the Weyssenhoff fluid, one will also encounter transverse momentum. The effects of that transverse momentum on the gravitoelectromagnetic field are investigated.