Year: 2026
Type: article
Abstract: We investigate the Raychaudhuri dynamics of charged spin-nondegenerate Lorentz–violating particle congruences under minimal electromagnetic coupling. The coupling is introduced through the gauge-covariant momentum $$P_{\mu }=\pi _{\mu }-qA_{\mu }$$ P μ = π μ - q A μ , so that the branch dispersion relation keeps its free functional form, while the electromagnetic field enters through the evolution of $$P_{\mu }$$ P μ . For a generic branch $${\mathcal {D}}^{(\pm )}(P)$$ D ( ± ) ( P ) , the tangent $$k^{\mu }_{(\pm )}$$ k ( ± ) μ and the momentum Hessian $$M^{\mu \nu }_{(\pm )}$$ M ( ± ) μ ν determine the covariant acceleration, $$a^{\mu }_{(\pm )}=-qM^{\mu \nu }_{(\pm )}F_{\nu \rho }k^{\rho }_{(\pm )}$$ a ( ± ) μ = - q M ( ± ) μ ν F ν ρ k ( ± ) ρ . As a consequence, the Raychaudhuri equation acquires the branch-dependent electromagnetic source $$-q\nabla _{\mu }\!\left( M^{\mu \nu }_{(\pm )}F_{\nu \rho }k^{\rho }_{(\pm )}\right) $$ - q ∇ μ M ( ± ) μ ν F ν ρ k ( ± ) ρ . We apply this construction to the $$b_{\mu }$$
Source: The European Physical Journal C
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7171814917