$f(R)$ gravity solutions for evolving wormholes

Abstract

Scalar-tensor $f(R)$ theory of gravity is considered in the framework of a simple inhomogeneous space-time model. In this we use the reconstruction technique to look for possible evolving wormhole solutions within viable $f(R)$ gravity formalism. These $f(R)$ models are then constrained so that they are consistent with existing experimental data. Energy conditions related to the matter threading the wormhole are analysed graphically and are in general found to obey the null energy conditions (NEC) in regions around the throat, while in the limit $f(R)=R,$ NEC can be violated at large in regions around the throat.

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Cited by in corpus (33)

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• Quasi-cosmological Traversable Wormholes in $f(R)$ Gravity
• Traversable Wormholes in $f(R,T)$ Gravity
• Wormhole Solutions in Rastall Gravity Theory
• Wormhole solutions in $f(R)$ Gravity
• Spherically symmetric brane in a bulk of f(R) and Gauss-Bonnet Gravity
• Existence of Static Wormhole Solutions in $f(R,G)$ Gravity
• Evolving topologically deformed wormholes supported in the dark matter halo
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• Traversable wormhole models in $f(R)$ gravity
• Evolving wormhole in the brane-world scenario
• Generalized models for black-bounce solutions in $f(R)$ Gravity
• Existence of Wormholes in $f(\mathcal{G})$ Gravity using Symmetries
• Dynamical wormholes in Lovelock gravity
• New Traversable Wormholes Solutions in $f(T)$ Gravity
• A new shape function for wormholes in $f(R)$ gravity and General Relativity
• The Raychaudhuri Equation in inhomogeneous FLRW space-time : A $f(R)$-gravity model
• Stability of Schwarzschild-$f(R)$ gravity thin-shell wormholes
• Some specific wormhole solutions in $f(R)$-modified gravity theory
• Wormhole modeling in $R^2$ gravity with linear trace term
• Validity of energy conditions of matter in traversable wormholes under the $f(Q)$ modified gravity theory
• Stable soliton dark matter wormhole in non-minimally coupled $f(\mathcal{Q},\mathcal{T})$ gravity
• Revisiting the Evolving Lorentzian Wormhole: a General Perspective
• Cosmic scenarios in $f(R)$ gravity: a complete evolution
• Evolving Wormholes in a Cosmological Background
• Investigating Evolving Wormholes in $f(R,T)$ Gravity
• Mimicking the $\Lambda$CDM Universe through inhomogeneous space-time
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Damour-Solodukhin Wormhole as a Black Hole Mimicker: The Role of Observers' Location
• Generalized black-bounces solutions in f(R) gravity and their field sources
• Dynamics of Dissipative Gravitational Collapse in the Morris-Thorne Wormhole Metric: One Scenario -- Several Outcomes
• Does Dynamical Wormhole Evolve From Emergent Scenario?