Optical signatures of the Kiselev-inspired wormholes


Güvendi A., Mustafa O., Gürtaş Doğan S., Errehymy A.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.0, ss.1-10, 2026 (SCI-Expanded, Scopus)

Özet

We present an analytical study of null geodesics and massless scalar fields in traversable wormholes supported by anisotropic Kiselev-type matter. The geometry, defined by the throat radius r0 and equation-of-state parameter ω, satisfies regularity and flaring-out conditions. Photon trajectories are characterized by exact photon-sphere conditions, critical impact parameters, and bending angles, with the effective potential h(r)=e2Φ(r)/r2 encoding the geometry and redshift profile. Scalar perturbations reduce to a generalized Helmholtztype equation with a frequency(Ω)-dependent refractive index n2(r;Ω), which exhibits strong near-throat confinement for low-frequency waves and approaches a nondispersive, ray-like behavior in the high-frequency limit. This framework provides a self-consistent analytical description of ray and wave propagation in Kiselevtype wormholes, highlighting the influence of geometry and redshift on light and scalar fields across all frequency regimes.