Characterization of exotic matter in PT-symmetric wormholes
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908663234428928 |
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| author | Zejli, Hicham |
| author_facet | Zejli, Hicham |
| contents | In our previous work [H. Zejli, Int. J. Mod. Phys. D 34, 2550052 (2025), arXiv:2508.00035], we introduced a PT-symmetric wormhole model based on a bimetric geometry, capable of generating closed timelike curves (CTCs). In this paper, we extend the analysis to the null hypersurface at the throat of this modified Einstein-Rosen bridge, where two regular Eddington-Finkelstein metrics render the geometry traversable. Using the Barrabes--Israel formalism in Poisson's reformulation, we evaluate the null shell's surface stress-energy tensor $S^{αβ}$ from the jump of the transverse curvature, revealing a violation of the null energy condition: a lightlike membrane of exotic matter with negative surface energy density and positive tangential pressure. This exotic fluid acts as a repulsive source stabilizing the throat, ensuring consistency with the Einstein field equations, including conservation laws on the shell. Beyond the local characterization, we outline potential observational signatures: (i) gravitational-wave echoes from the photon-sphere cavity; (ii) horizon-scale imaging with duplicated and through-throat photon rings, and non-Kerr asymmetries; (iii) quantum effects such as PT-induced frequency pairing with possible QNM doublets and partial suppression of vacuum flux at the throat; and (iv) a relic cosmological population yielding an effective $Λ_{\mathrm{eff}}$ and seeding voids. Compared with timelike thin-shell constructions, our approach is based on a null junction interpreted as a lightlike membrane, combined with PT symmetry, providing a distinct route to traversability and clarifying the conditions under which CTCs can arise in a self-consistent framework. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_14811 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterization of exotic matter in PT-symmetric wormholes Zejli, Hicham General Relativity and Quantum Cosmology 83C57, 83C75, 83F05, 83C05 In our previous work [H. Zejli, Int. J. Mod. Phys. D 34, 2550052 (2025), arXiv:2508.00035], we introduced a PT-symmetric wormhole model based on a bimetric geometry, capable of generating closed timelike curves (CTCs). In this paper, we extend the analysis to the null hypersurface at the throat of this modified Einstein-Rosen bridge, where two regular Eddington-Finkelstein metrics render the geometry traversable. Using the Barrabes--Israel formalism in Poisson's reformulation, we evaluate the null shell's surface stress-energy tensor $S^{αβ}$ from the jump of the transverse curvature, revealing a violation of the null energy condition: a lightlike membrane of exotic matter with negative surface energy density and positive tangential pressure. This exotic fluid acts as a repulsive source stabilizing the throat, ensuring consistency with the Einstein field equations, including conservation laws on the shell. Beyond the local characterization, we outline potential observational signatures: (i) gravitational-wave echoes from the photon-sphere cavity; (ii) horizon-scale imaging with duplicated and through-throat photon rings, and non-Kerr asymmetries; (iii) quantum effects such as PT-induced frequency pairing with possible QNM doublets and partial suppression of vacuum flux at the throat; and (iv) a relic cosmological population yielding an effective $Λ_{\mathrm{eff}}$ and seeding voids. Compared with timelike thin-shell constructions, our approach is based on a null junction interpreted as a lightlike membrane, combined with PT symmetry, providing a distinct route to traversability and clarifying the conditions under which CTCs can arise in a self-consistent framework. |
| title | Characterization of exotic matter in PT-symmetric wormholes |
| topic | General Relativity and Quantum Cosmology 83C57, 83C75, 83F05, 83C05 |
| url | https://arxiv.org/abs/2511.14811 |