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Charged particle dynamics in singular spacetimes: hydrogenic mapping and curvature-corrected thermodynamics

2025/09/19 by Guvendi, Abdullah, Dogan, Semra Gurtas, Mustafa, Omar +1
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Astrophysical Phenomena (astro-ph.HE) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2509.16289

Abstract

We analyze the dynamics of charged test particles in a singular, horizonless spacetime arising as the massless limit of a charged wormhole in the Einstein--Maxwell--Scalar framework. The geometry, sustained solely by an electric charge \(Q\), features an infinite sequence of curvature singularity shells, with the outermost at \(r_∗ = \frac2|Q|π\) acting as a hard boundary for nonradial motion, while radial trajectories can access it depending on the particle's charge-to-mass ratio \((|q|)/(m)\). Exploiting exact first integrals, we construct the effective potential and obtain circular orbit radii, radial epicyclic frequencies, and azimuthal precession rates. In the weak-field limit (\(r ≫ |Q|\)), the motion reduces to a Coulombic system with small curvature-induced retrograde precession. At large radii, the dynamics maps to a hydrogenic system, with curvature corrections inducing perturbative energy shifts. Approaching \(r_∗\), the potential diverges, producing hard-wall confinement. Curvature corrections also modify the canonical thermodynamics, raising energies and slightly altering entropy and heat capacity. Our results characterize the transition from Newtonian-like orbits to strongly confined, curvature-dominated dynamics.

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