Role of the complexity factor and Karmarkar condition in constructing new wormhole models in dRGT gravity
No Thumbnail Available
Date
2025
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
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