Existence of Static Wormhole Solutions in $f(R,G)$ Gravity

Abstract

This work investigates some feasible regions for the existence of traversable wormhole geometries in $f(R,G)$ gravity, where $R$ and $G$ represent the Ricci scalar and the Gauss-Bonnet invariant respectively. Three different matter contents anisotropic fluid, isotropic fluid and barotropic fluid have been considered for the analysis. Moreover, we split $f(R,G)$ gravity model into Strobinsky like $f(R)$ model and a power law $f(G)$ model to explore wormhole geometries. We select red-shift and shape functions which are suitable for the existence of wormhole solutions for the chosen $f(R,G)$ gravity model. It has been analyzed with the graphical evolution that the null energy and weak energy conditions for the effective energy-momentum tensor are usually violated for the ordinary matter content. However, some small feasible regions for the existence of wormhole solutions have been found where the energy conditions are not violated. The overall analysis confirms the existence of the wormhole geometries in $f(R,G)$ gravity under some reasonable circumstances.

17 pages, 19 figures, revised version matched with the published one in Astrophys. Space Sci

References in corpus (13)

• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Disappearing cosmological constant in f(R) gravity
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Wormhole geometries in f(R) modified theories of gravity
• Extreme neutron stars from Extended Theories of Gravity
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Energy Conditions in $f(\mathcal{G},T)$ Gravity
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Wormholes in a viable f(T) gravity
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity
• Physical Attributes of Anisotropic Compact Stars in $f(R,G)$ Gravity

Cited by in corpus (6)

• Wormhole solutions in symmetric teleparallel gravity
• Traversable Wormhole Solutions in $f(R)$ Gravity Via Karmarkar Condition
• Investigation of Traversable Wormhole Solutions in Modified $f(R)$ Gravity with Scalar Potential
• Impact of dark matter galactic halo models on wormhole geometry within $f(Q,T)$ gravity
• Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity
• Energy Constraints for Evolving Spherical and Hyperbolic Wormholes in $f(R,T)$ Gravity