Possible existence of Rastall–Rainbow wormholes in dark matter galactic halos

Possible existence of Rastall–Rainbow wormholes in dark matter galactic halos

5 June 2024 | Abdelghani Errehymy, Ayan Banerjee, Sudan Hansraj, Orhan Donmez, Kottakkaran Sooppy Nisar, Abdel-Haleem Abdel-Aty
This paper explores the possibility of Rastall–Rainbow (R–R) wormhole (WH) solutions in dark matter galactic halos. The R–R gravity theory combines Rastall and rainbow theories, introducing an energy-dependent modification to gravity. The study constructs WH geometries within this framework, analyzing their properties based on dark matter halo density profiles. The research confirms that such wormholes could potentially exist, though the null energy condition (NEC) is violated near the wormhole throat. The stability of the configuration is examined through the adiabatic sound velocity. The paper investigates three different dark matter halo density profiles: Navarro–Frenk–White (NFW), Thomas–Fermi (TF), and pseudo isothermal (PI). Each profile is used to derive the shape function of the wormhole, ensuring it satisfies the necessary conditions for a static WH solution. The analysis shows that the NEC is violated in the vicinity of the wormhole throat, indicating the need for exotic matter. However, the results suggest that such wormholes could exist in galactic halos due to the dark matter density profiles. The study also examines the energy conditions for each model, finding that the NEC is violated near the wormhole throat, which is consistent with the requirement for exotic matter. The adiabatic sound velocity is used to assess the stability of the solutions, showing that the models satisfy the necessary conditions for stability. The results indicate that while wormholes could exist in galactic halos, further astrophysical data are needed to confirm their existence. The paper concludes that R–R gravity theory provides a promising framework for exploring the existence of wormholes in dark matter halos.This paper explores the possibility of Rastall–Rainbow (R–R) wormhole (WH) solutions in dark matter galactic halos. The R–R gravity theory combines Rastall and rainbow theories, introducing an energy-dependent modification to gravity. The study constructs WH geometries within this framework, analyzing their properties based on dark matter halo density profiles. The research confirms that such wormholes could potentially exist, though the null energy condition (NEC) is violated near the wormhole throat. The stability of the configuration is examined through the adiabatic sound velocity. The paper investigates three different dark matter halo density profiles: Navarro–Frenk–White (NFW), Thomas–Fermi (TF), and pseudo isothermal (PI). Each profile is used to derive the shape function of the wormhole, ensuring it satisfies the necessary conditions for a static WH solution. The analysis shows that the NEC is violated in the vicinity of the wormhole throat, indicating the need for exotic matter. However, the results suggest that such wormholes could exist in galactic halos due to the dark matter density profiles. The study also examines the energy conditions for each model, finding that the NEC is violated near the wormhole throat, which is consistent with the requirement for exotic matter. The adiabatic sound velocity is used to assess the stability of the solutions, showing that the models satisfy the necessary conditions for stability. The results indicate that while wormholes could exist in galactic halos, further astrophysical data are needed to confirm their existence. The paper concludes that R–R gravity theory provides a promising framework for exploring the existence of wormholes in dark matter halos.
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