Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity

Abstract

In this manuscript, we construct generalized Ellis-Bronnikov wormholes in the context of $f(R)$ modified theories of gravity. We consider that the matter driving the wormhole satisfies the energy conditions so that it is the effective energy-momentum tensor containing the higher-order derivatives of curvature terms that violate the null energy condition. Thus, the gravitational fluid is interpreted by the higher-order derivatives of curvature terms to represent the wormhole geometries and is fundamentally different from its counter representation in general relativity. In particular, we explore the wormhole geometries by presuming various well-known forms of Lagrangian $f(R)$. In addition, for the seek of completeness, we discuss modified Tolman-Oppenheimer-Volkov, volume integral quantifier, and total gravitational energy.

EPJ C accepted version

References in corpus (52)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Extra force in $f(R)$ modified theories of gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Wormhole geometries in f(R) modified theories of gravity
• Are f(R) dark energy models cosmologically viable ?
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Modified-gravity wormholes without exotic matter
• Solar System constraints to general f(R) gravity
• The Cosmology of Modified Gauss-Bonnet Gravity
• Modified gravity with arbitrary coupling between matter and geometry
• Limit to General Relativity in f(R) theories of gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Energy conditions in f(R)-gravity
• Dark energy and dark matter as curvature effects
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Dark matter as a geometric effect in f(R) gravity
• Modelling wormholes in $f(R,T)$ gravity
• Solar System tests DO rule out 1/R gravity
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• The evolution of density perturbations in f(R) gravity
• Static wormhole solution for higher-dimensional gravity in vacuum
• Wormhole solutions in symmetric teleparallel gravity
• Wormhole geometries in $f(Q)$ gravity and the energy conditions
• A viability criterion for modified gravity with an extra force
• Traversable wormhole geometries in $f(Q)$ gravity
• Electromagnetic signatures of thin accretion disks in wormhole geometries
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• A general class of braneworld wormholes
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Cosmological evolution in exponential gravity
• Do f(R) theories matter?
• New asymptotically flat phantom wormhole solutions
• Evolving wormhole geometries within nonlinear electrodynamics
• f(R) Gravity with Torsion: The Metric-Affine Approach
• Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Energetics in Condensate Star and Wormholes
• Observational Constraints on Exponential Gravity
• $f(\mathsf{R})$ Gravity Wormholes sourced by a Phantom Scalar Field
• Gravitational wave propagation in $f(R)$ models: New parametrizations and observational constraints
• Thin accretion disks around traversable wormholes
• Particle motion around a static axially symmetric wormhole
• A wormhole geometry from gravitational collapse
• Spatial Curvature in $f(R)$ Gravity
• Generalised Ellis-Bronnikov wormholes embedded in warped braneworld background and energy conditions
• Accounting for exotic matter and the extreme radial tension in Morris-Thorne wormholes of embedding class one

Cited by in corpus (14)

• Wormhole solutions in $f(R,L_m)$ gravity
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Probing the existence of the ZTF Casimir wormholes in the framework of $f(\mathcal{R})$ gravity
• Possibility of the Traversable Wormholes in the Galactic Halos within $4D$ Einstein-Gauss-Bonnet Gravity
• Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within $f(Q)$ gravity
• Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity
• Creation of wormholes during the cosmological bounce
• Matter traveling through a wormhole
• Stealth Ellis Wormholes In Horndeski theories
• Novel Casimir wormholes in Einstein gravity
• Casimir Wormholes in Brans-Dicke Theory
• Sources of matter for wormholes in a k-essence theory
• Dynamical wormholes
• Trace anomaly contributions to semi-classical wormhole geometries