Helically twisted spacetime: study of geometric and wave optics, and physical analysis
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| author | Silva, Edilberto O. Azevedo, Frankbelson dos S. Ahmed, Faizuddin |
| author_facet | Silva, Edilberto O. Azevedo, Frankbelson dos S. Ahmed, Faizuddin |
| contents | We analyse a stationary, cylindrically symmetric spacetime endowed with an intrinsic helical twist, $ds^{2} = -dt^{2} + dr^{2} + r^{2} dϕ^{2} + (dz + ω\, r\,dϕ)^{2}$. 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 $T_{ϕz}ω^{3}/r$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23291 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Helically twisted spacetime: study of geometric and wave optics, and physical analysis Silva, Edilberto O. Azevedo, Frankbelson dos S. Ahmed, Faizuddin General Relativity and Quantum Cosmology We analyse a stationary, cylindrically symmetric spacetime endowed with an intrinsic helical twist, $ds^{2} = -dt^{2} + dr^{2} + r^{2} dϕ^{2} + (dz + ω\, r\,dϕ)^{2}$. 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 $T_{ϕz}ω^{3}/r$. 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. |
| title | Helically twisted spacetime: study of geometric and wave optics, and physical analysis |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.23291 |