Wormhole solutions in $f(R)$ Gravity

Abstract

In this work, we have studied the traversable wormholes geometry in $f(R)$ theory gravity, where $R$ be the Ricci scalar. The wormhole solution for some assumed $f(R)$ functions have been presented. The assumption of $f(R)$ is based on the fact that its behaviour changed with an assumed parameter $\alpha$ rather than the deceleration parameter. Three models are presented based on the physically motivated shape function and their behaviours are studied.

12 pages, 12 figures, Accepted Version IJMPD

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• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Investigation of Traversable Wormhole Solutions in Modified $f(R)$ Gravity with Scalar Potential
• Traversable wormhole models in $f(R)$ gravity
• Charged traversable wormholes supported by Casimir energy with and without GUP corrections
• Casimir wormhole with GUP correction in extended symmetric teleparallel gravity
• Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions
• Generalised Ellis-Bronnikov wormholes embedded in warped braneworld background and energy conditions
• Existence of non-exotic traversable wormholes in squared trace extended gravity theory
• Cosmological model with linear equation of state parameter in f(R, Lm) gravity
• Creation of wormholes during the cosmological bounce
• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Conservative wormholes in generalized $\kappa (\mathcal{R},\mathcal{T})$-function
• Particle motion around traversable wormholes: Possibility of closed timelike geodesics
• Wormhole Solutions in deformed space-time
• Matter Geometry Coupling and Casimir Wormhole Geometry