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Traversable wormhole solutions admitting Karmarkar condition in Ricci inverse gravity

Adnan MalikCenter for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku AZ1096, AzerbaijanA. HussainUniversity of FaisalabadJ. RayimbaevInstitute of Theoretical Physics, National University of Uzbekistan, Tashkent 100174, UzbekistanI. DavletovDepartment of Technique, Urgench State University, Kh. Alimjan Street 14, Urgench 221100, UzbekistanS. MuminovMamun University, Bolkhovuz Street 2, Khiva 220900, UzbekistanFatemah MofarrehMathematical Science Department, College of Science, Princess Nourah Bint, Abdulrahman University, Riyadh 11546, Saudi Arabia

2026en

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ABI

Annotatsiya

This study investigates traversable wormhole solutions in the context of modified [Formula: see text] gravity, where [Formula: see text] denotes the Ricci scalar and [Formula: see text] represents the anti-curvature scalar. By employing the Karmarkar condition, we construct a wormhole shape function (WSF) that adheres to the fundamental requirements for wormhole geometry. The analysis adopts a linear model for the proposed gravitational framework and incorporates anisotropic matter distributions. Graphical representations of the derived energy conditions (ECs), evaluated with suitable parameter choices, reveal their violationa hallmark feature of wormhole solutions. Additionally, we examine the stability of the configuration via equilibrium conditions. Our results conclusively satisfy the theoretical prerequisites for traversable wormholes, thereby establishing the consistency and physical viability of the model.

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DOI: 10.1142/s0219887826503202

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