Embedded class one analysis of wormhole configurations in 4š EinsteināGaussāBonnet gravity with logarithmic redshift functions
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Date
2025
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Abstract
This work delves into the characteristics of wormhole solutions in the context of 4š EinsteināGaussāBonnet
gravity. The redshift function, š(š), and the shape function, šīæ(š), are key components of the metric and play
acrucial role in modeling wormholes. Our exploration reveals the influence of 4š EinsteināGaussāBonnet
gravity attributes, providing valuable insights into the formation of wormholes. Additionally, we analyze
energy conditions and fundamental features of wormhole configurations. The GaussāBonnet coupling constant,
š¶, is shown to significantly affect the stability of wormhole geometries, especially when the throats are
supported by exotic matter. Stability analysis using the TolmanāOppenheimerāVolkoff 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