Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity

Abstract

This paper is devoted to find the feasible shape functions for the construction of static wormhole geometry in the frame work of logarithmic-corrected $R^2$ gravity model. We discuss the asymptotically flat wormhole solutions sustained by the matter sources with anisotropic pressure, isotropic pressure and barotropic pressure. For anisotropic case, we consider three shape functions and evaluate the null energy conditions and weak energy conditions graphically along with their regions. Moreover, for barotropic and isotropic pressures, we find shape function analytically and discuss its properties. For the formation of traversable wormhole geometries, we cautiously choose the values of parameters involved in $f(R)$ gravity model. We show explicitly that our wormhole solutions violates the non-existence theorem even with logarithmic corrections. We discuss all physical properties via graphical analysis and it is concluded that the wormhole solutions with relativistic formalism can be well justified with logarithmic corrections.

12 pages, 8 figures

References in corpus (24)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Measurements of the Cosmological Parameters Omega and Lambda from the First 7 Supernovae at z >= 0.35
• Curvature Quintessence
• Curvature quintessence matched with observational data
• Cosmic Concordance and Quintessence
• The null energy condition in dynamic wormholes
• 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
• Unification of Constant-roll Inflation and Dark Energy with Logarithmic $R^2$-corrected and Exponential $F(R)$ Gravity
• Notes on wormhole existence in scalar-tensor and F(R) gravity
• No realistic wormholes from ghost-free scalar-tensor phantom dark energy
• Noncommutative Wormholes in $f(R)$ Gravity with Lorentzian Distribution
• Logarithmic-corrected $R^2$ Gravity Inflation in the Presence of Kalb-Ramond Fields
• How Well Can Future CMB Missions Constrain Cosmic Inflation?
• Static spherically symmetric wormholes in generalized $f(R,\varphi )$ gravity
• Existence of Static Wormhole Solutions in $f(R,G)$ Gravity
• Accelerating universe in scalar tensor models - confrontation of theoretical predictions with observations
• Cosmological wormholes
• Conformal continuations and wormhole instability in scalar-tensor gravity
• Traversable Wormholes with Exponential Shape Function in Modified Gravity and in General Relativity: A Comparative Study
• Wormholes without exotic matter in nonminimal torsion-matter coupling $f(T)$ gravity

Cited by in corpus (11)

• Traversable wormhole geometries in $f(Q)$ gravity
• Existence of Wormhole Solutions in $f(Q,T)$ Gravity under Non-commutative Geometries
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• Embedding procedure and wormhole solutions in $f(Q)$ gravity
• Charged traversable wormholes supported by Casimir energy with and without GUP corrections
• Casimir wormhole with GUP correction in extended symmetric teleparallel gravity
• The study of Kantowski-Sachs perfect fluid cosmological model in modified gravity
• Smeared Mass Source Wormholes in Modified $f(R)$ Gravity with the Lorentzian Density Distribution Function
• Evolving traversable wormholes satisfying the energy conditions in the presence of pole dark energy
• Model-independent traversable wormholes from baryon acoustic oscillations