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arXiv · 2304.06365

Existence of Wormholes in $f(\mathcal{G})$ Gravity using Symmetries

Tayyaba Naz·G. Mustafa·M. Farasat Shamir
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Abstract

The current study examines the geometry of static wormholes with anisotropic matter distribution in context of modified $f(\mathcal{G})$ gravity. We consider the well known Noether and conformal symmetries, which help in investigating wormholes in $f(\mathcal{G})$ gravity. For this purpose, we develop symmetry generators associated with conserved quantities by taking into consideration the $f(\mathcal{G})$ gravity model. Moreover, we use the conservation relationship gained from the classical Noether method and conformal Killing symmetries to develop the metric potential. These symmetries provide a strong mathematical background to investigate wormhole solutions by incorporating some suitable initial conditions. The obtained conserved quantity performs a significant role in defining the essential physical characteristics of the shape-function and energy conditions. Further, we also describe the stability of obtained wormholes solutions by employing the equilibrium condition in modified $f(\mathcal{G})$ gravity. It is observed from graphical representation of obtained wormhole solutions that Noether and conformal Killing symmetries provide the results with physically accepted patterns.

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Tayyaba Naz, G. Mustafa, M. Farasat Shamir. 2023-04-13. Existence of Wormholes in $f(\mathcal{G})$ Gravity using Symmetries. https://doi.org/10.1142/s0219887822501006

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