Quasi-cosmological Traversable Wormholes in $f(R)$ Gravity

Abstract

In this paper we study traversable wormholes in the context of $f(R)$ gravity. Exact solutions of traversable wormholes are found by imposing the nonconstant Ricci scalar. These solutions asymptotically match spherical, flat and hyperbolic FRW metric. By choosing some static $f(R)$ gravity models, we verify the standard energy conditions for the asymptotically spherical, flat and hyperbolic wormhole solutions. Unlike the Einstein gravity, we find that in the context of $f(R)$ modified gravity, the asymptotically spherical, flat and hyperbolic wormhole solutions can respect the null energy condition (NEC) at the wormhole throat and near that. We find that in some static $f(R)$ models, asymptotically flat and hyperbolic wormholes respect the weak energy condition (WEC) through the whole space.

13 pages

References in corpus (27)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Conditions for the cosmological viability of f(R) dark energy models
• Wormhole geometries in f(R) modified theories of gravity
• Are f(R) dark energy models cosmologically viable ?
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Modified-gravity wormholes without exotic matter
• Limit to General Relativity in f(R) theories of gravity
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• A f(R) gravity without cosmological constant
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Do f(R) theories matter?
• Brans wormholes
• On the non-minimal gravitational coupling to matter
• No realistic wormholes from ghost-free scalar-tensor phantom dark energy
• Wormhole throats in $R^m$ gravity
• Evolving wormhole geometries within nonlinear electrodynamics
• Interacting dark energy in $f(R)$ gravity
• Wormholes and black universes without phantom fields in Einstein-Cartan theory
• N-dimensional static and evolving Lorentzian wormholes with cosmological constant
• Higher dimensional thin-shell wormholes in Einstein-Yang-Mills-Gauss-Bonnet gravity

Cited by in corpus (21)

• 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
• Traversable Wormholes in $f(R,T)$ Gravity
• Wormhole solutions in $f(R)$ Gravity
• Non-Local Gravity Wormholes
• Traversable wormholes in $f(R)$-massive gravity
• Possibility of the Traversable Wormholes in the Galactic Halos within $4D$ Einstein-Gauss-Bonnet Gravity
• Traversable wormholes with logarithmic shape function in f(R, T) gravity
• A new shape function for wormholes in $f(R)$ gravity and General Relativity
• Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within $f(Q)$ gravity
• Exploring wormhole solutions with global monopole charge in the context of $f(Q)$ gravity
• Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity
• f(R) wormholes embedded in a pseudo--Euclidean space $E^5$
• Noncommutative wormhole in de Rham-Gabadadze-Tolley like massive gravity
• Thin shells in F(R) gravity with non-constant scalar curvature
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• Minimally deformed wormholes inspired by noncommutative geometry
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• Evolving Wormholes in a Cosmological Background
• Thin-shell wormholes in N-dimensional F(R) gravity