Decoupled traversable wormholes in Vegh-type massive gravity with Bose–Einstein condensate and pseudo-isothermal dark matter profiles
Annals of Physics, cilt.495, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 495
- Basım Tarihi: 2026
- Doi Numarası: 10.1016/j.aop.2026.170744
- Dergi Adı: Annals of Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, INSPEC, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Natural Science Collection (ProQuest), Earth, Atmospheric, & Aquatic Science Collection (ProQuest)
- Anahtar Kelimeler: BEC dark matter, Pseudo-isothermal dark matter, Traversable wormhole, Vegh massive gravity
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
We construct exact traversable wormhole solutions in the framework of Vegh-type de Rham–Gabadadze–Tolley (dRGT) like massive gravity augmented by an additional gravitational source introduced through the minimal geometric deformation (MGD) approach to gravitational decoupling. Two physically motivated dark matter (DM) density profiles are employed in the decoupled θ-sector: the Bose–Einstein condensate (BEC) profile and the pseudo-isothermal (PI) profile. For each model we derive closed-form wormhole shape functions and verify all traversability conditions. A comprehensive energy-condition analysis demonstrates that the Null Energy Condition is violated near the throat, as required, while the volume integral quantifier (VIQ) confirms that both the DM coupling α and the graviton-mass coupling m2c1<0 reduce the exotic matter content relative to the pure GR case, although the NEC violation at the throat itself is never removed. The generalised Tolman–Oppenheimer–Volkoff force balance (Fh+Fa+FMG=0) is used to confirm the static mechanical equilibrium of the matter configuration; together with the complexity factor and the anisotropy parameter it characterises, rather than establishes the dynamical stability of the resulting matter distribution. The equation-of-state parameters ωr and ωt confirm phantom-energy behaviour (ω<−1) near the throat in the region where ρ>0. The active gravitational mass MAGM(r) is negative near the throat for both models, confirming the repulsive gravitational character of the exotic matter. The weak deflection angle is computed via the Gauss–Bonnet theorem; the BEC model produces deflection angles αˆ∼0.5–1.4 rad while the PI model gives ∼0.2–0.8 rad, both increasing with α, with the quantitative estimates restricted to the impact-parameter range in which the weak-field straight-line approximation is under analytic control. Embedding diagrams visualise the wormhole geometry for both models.