Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity

Abstract

This research work provides an exhaustive investigation of the viability of different coupled wormhole (WH) geometries with the relativistic matter configurations in the $f(R,G,T)$ extended gravity framework. We consider a specific model in the context of $f(R,G,T)$-gravity for this purpose. Also, we assume a static spherically symmetric space-time geometry and a unique distribution of matter with a set of shape functions ($\beta (r)$) for analyzing different energy conditions (ECs). In addition to this, we examined WH-models in the equilibrium scenario by employing anisotropic fluid. The corresponding results are obtained using numerical methods and then presented using different plots. In this case, $f(R,G,T)$ gravity generates additional curvature quantities, which can be thought of as gravitational objects that maintain irregular WH-situations. Based on our findings, we conclude that in the absence of exotic matter, WH can exist in some specific regions of the parametric space using modified gravity model as, $f(R,G,T)=R+\alpha R^2+\beta G^n+\gamma G\ln (G)+\lambda T$.

Modified, 31 pages, 11 figures

References in corpus (24)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Beyond the Cosmological Standard Model
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Wormhole geometries in f(R) modified theories of gravity
• Inflationary cosmology in modified gravity theories
• Nonminimal coupling of perfect fluids to curvature
• $f(T,\mathcal{T})$ gravity and cosmology
• Generalized curvature-matter couplings in modified gravity
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Modelling wormholes in $f(R,T)$ gravity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Stability of Chaplygin gas thin-shell wormholes
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• Wormholes in a viable f(T) gravity
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Self sustained phantom wormholes in semi-classical gravity
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Cylindrical Thin-shell Wormholes in $f(R)$ gravity
• Topologically non-trivial configurations in the 4d Einstein--nonlinear $\sigma$-model system
• Compact Stars in $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity
• Traversable wormholes in the traceless $f(R,T)$ gravity
• Wormhole modeling in $R^2$ gravity with linear trace term