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February 22, 2026International Journal of Geometric Methods in Modern Physics0 citations

Optical signatures of the Kiselev-inspired wormholes

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AGAbdullah GuvendiOMOmar MustafaAGAbdullah Güvendi

Key Points

  • This research aims to analyze the interactions of light and scalar fields in Kiselev-inspired traversable wormholes.
  • Conducted an analytical study of null geodesics and massless scalar fields.
  • Characterized photon trajectories and evaluated critical impact parameters and bending angles.
  • Derived a generalized Helmholtz-type equation for scalar perturbations.
  • Analyzed frequency-dependent refractive index behaviors across different wave regimes.
  • Identified conditions for regularity and flaring-out in wormhole geometry.
  • Demonstrated strong near-throat confinement for low-frequency waves, transitioning to ray-like behavior at high frequencies.
  • Showed that the effective potential encodes the geometry and redshift profile affecting light and scalar fields.

Abstract

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 Formula: see text and equation-of-state parameter Formula: see text, 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 Formula: see text encoding the geometry and redshift profile. Scalar perturbations reduce to a generalized Helmholtztype equation with a frequency(Formula: see text)-dependent refractive index Formula: see text, 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.

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Cite This Study

Guvendi et al. (2026) studied this question.

synapsesocial.com/papers/699a9d8e482488d673cd3844https://doi.org/10.1142/s0219887826501641
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