Gravitational ultrarelativistic interaction of classical particles in the context of unification of interactions

Abstract

The response of the ultrarelativistic particle with spin in a Schwarzschild field to the gravitomagnetic components as measured by the comoving observer is investigated. The dependence of the particle's spin-orbit acceleration on the Lorentz γ- factor and the spin orientation is studied. The concrete circular ultrarelativistic orbit of radius r=3m is considered as a partial solution of the Mathisson-Papapetrou equations and as the corresponding high-energy quantum state of the Dirac particle. Numerical estimates for protons and electrons near black holes are given. A tendency of gravitational and electromagnetic interactions to approach in quantitative terms at ultrarelativistic velocities is discussed

arXiv comment16 pages

References in corpus (1)

• Gravitational ultrarelativistic spin-orbit interaction and the weak equivalence principle

Cited by in corpus (11)

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• Ultrarelativistic circular orbits of spinning particles in a Schwarzschild field
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• Highly relativistic spin-gravity coupling for fermions
• Highly relativistic spinning particle starting near $r_{ph}^{(-)}$ in a Kerr field
• Antigravity: Spin-gravity coupling in action
• Highly relativistic spin-gravity-$\Lambda$ coupling
• Solutions of Mathisson-Papapetrou equations for highly relativistic spinning particles