Helically twisted spacetime: Study of geometric and wave optics, and physical analysis
Year: 2025
Type: article
Abstract: We analyse a stationary, cylindrically symmetric spacetime endowed with an intrinsic helical twist, d s 2 = − d t 2 + d r 2 + r 2 d ϕ 2 + ( d z + ω r d ϕ ) 2 . Solving the Einstein equations exactly yields an anisotropic energy–momentum tensor whose density is negative and decays as r − 2 , thus violating the weak energy condition near the axis. Three notable features emerge: (i) axis-centred negative energy; (ii) unequal transverse stresses; (iii) a torsional momentum flux T ϕ z ∝ ω 3 / r . We identify stable photon orbits and deflection angle, fully helical geodesics, and torsion-controlled wave optics modes, suggesting laboratory analogues in twisted liquid-crystal and photonic systems. The coupling between the torsion parameter ω and other physical parameters leads to significant effects, altering the motion along the positive or negative z -axis. These results make the twisted helical metric a useful test bed for studying the interplay of curvature, torsion, and matter in both gravitational and condensed-matter contexts.
Source: Physics Letters B
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G3396132218, G3610519444, G573827377
OpenAlex ID: W4415020133