Browsing by Author "Kumar, Jitendra"

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    Embedded class one analysis of wormhole configurations in 4𝒟 Einstein–Gauss–Bonnet gravity with logarithmic redshift functions
    (2025) Kumar, Jitendra
    This work delves into the characteristics of wormhole solutions in the context of 4𝒟 Einstein–Gauss–Bonnet gravity. The redshift function, 𝜒(𝑟), and the shape function, 𝜑(𝑟), are key components of the metric and play acrucial role in modeling wormholes. Our exploration reveals the influence of 4𝒟 Einstein–Gauss–Bonnet gravity attributes, providing valuable insights into the formation of wormholes. Additionally, we analyze energy conditions and fundamental features of wormhole configurations. The Gauss–Bonnet coupling constant, 𝛶, is shown to significantly affect the stability of wormhole geometries, especially when the throats are supported by exotic matter. Stability analysis using the Tolman–Oppenheimer–Volkoff equation confirms that these solutions meet equilibrium conditions. Moreover, the deflection angle increases near the throat, where the gravitational field is strongest, and approaches zero at larger distances, indicating minimal light bending in weak
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    Role of the complexity factor and Karmarkar condition in constructing new wormhole models in dRGT gravity
    (2025) Kumar, Jitendra
    This study delves into the distinctive characteristics of wormhole models in the context of de Rham-Gabadadze Tolley (dRGT) massive gravity, providing insights into their theoretical behavior and stability. We use a null zero complexity factor to find the wormhole shape function for Model I. Additionally, we solve analytically the modified field equations describing wormhole for a given choice of logarithmic redshift function, exploiting the Karmarkar condition for embedding class one metrics for Model II. To achieve this, we analyze the wormhole geometry in a static spherical spacetime with an anisotropic matter configuration. The study investigates a number of parameters, including density, energy conditions, equation of state parameter, adiabatic sound velocity, and equilibrium condition. The solution shows a traversable wormhole that violates the null energy criterion and equilibrium state for certain ranges of free parameters. We employ adiabatic sound velocity analysis to concentrate on the stability of the wormhole. Furthermore, by using the equation of state parameter (𝜔), we conclude that both models end up in the phantom dark energy region. Finally, our findings highlight distinct photon deflection behaviors in dRTG massive gravity, with Model II showing negative angles indicative of repulsive gravity, while Model I exhibits positive angles, underscoring significant differences in gravitational dynamic