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<p>In this article, we explore Finslerian wormhole solutions within the framework of non-commutative geometry. Two smeared matter distributions (Gaussian and Lorentzian) are considered to investigate the existence of traversable wormholes. The corresponding shape functions are obtained and found to satisfy all necessary geometric conditions. The energy conditions are analyzed graphically, showing that the null energy condition (NEC) is violated near the throat, signifying the presence of exotic matter. However, the Finsler anisotropy, governed by the curvature parameter (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\kappa \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>κ</mi> </math></EquationSource> </InlineEquation>), reduces the degree of this violation, implying that less exotic matter is required. Furthermore, the Tolman–Oppenheimer–Volkoff (TOV) equilibrium is employed to study stability, revealing a precise balance among the gravitational, hydrostatic, and anisotropic forces. This indicates that the obtained Finsler–noncommutative wormhole solutions are physically stable and in equilibrium.</p>

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The Finslerian wormhole solutions with Gaussian and Lorentzian non-commutative distributions

  • 期刊论文

  • 发表日期：

    2026年4月14日

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  • T. Sanjay,
  • S. K. Narasimhamurthy,
  • Z. Nekouee,
  • H. M. Manjunatha,
  • Manjunath Malligawad

摘要

In this article, we explore Finslerian wormhole solutions within the framework of non-commutative geometry. Two smeared matter distributions (Gaussian and Lorentzian) are considered to investigate the existence of traversable wormholes. The corresponding shape functions are obtained and found to satisfy all necessary geometric conditions. The energy conditions are analyzed graphically, showing that the null energy condition (NEC) is violated near the throat, signifying the presence of exotic matter. However, the Finsler anisotropy, governed by the curvature parameter ( \(\kappa \) κ ), reduces the degree of this violation, implying that less exotic matter is required. Furthermore, the Tolman–Oppenheimer–Volkoff (TOV) equilibrium is employed to study stability, revealing a precise balance among the gravitational, hydrostatic, and anisotropic forces. This indicates that the obtained Finsler–noncommutative wormhole solutions are physically stable and in equilibrium.