Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition

Abstract

Recently, exact solutions of wormhole geometries supported by a nonminimal curvature-matter coupling were found, where the nonminimal coupling minimizes the violation of the null energy condition of normal matter at the throat. In this brief report, we present a solution where normal matter satisfies the energy conditions at the throat and it is the higher order curvature derivatives of the nonminimal coupling that is responsible for the null energy condition violation, and consequently for supporting the respective wormhole geometries. For simplicity, we consider a linear R nonmiminal curvature-matter coupling and an explicit monotonically increasing function for the energy density. Thus, the solution found is not asymptotically flat, but may in principle be matched to an exterior vacuum solution.

arXiv comment4 pages, 7 figures

References in corpus (41)

• Dynamics of dark energy
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Extra force in $f(R)$ modified theories of gravity
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Conditions for the cosmological viability of f(R) dark energy models
• f(R,L_m) gravity
• Wormhole geometries in f(R) modified theories of gravity
• Phantom energy traversable wormholes
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Morris-Thorne wormholes with a cosmological constant
• Gravity assisted dark energy dominance and cosmic acceleration
• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with arbitrary coupling between matter and geometry
• Dark energy and dark matter as curvature effects
• Stability of phantom wormholes
• Dark matter as a geometric effect in f(R) gravity
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• The Lagrangian description of perfect fluids and modified gravity with an extra force
• Energy Conditions and Stability in $f(R)$ theories of gravity with non-minimal coupling to matter
• Stability analysis of dynamic thin shells
• Modified gravity with R-matter couplings and (non-)geodesic motion
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Plane symmetric thin-shell wormholes: solutions and stability
• A viability criterion for modified gravity with an extra force
• Do f(R) theories matter?
• Surface stresses on a thin shell surrounding a traversable wormhole
• Generalized virial theorem in f(R) gravity
• Plane symmetric traversable wormholes in an anti-de Sitter background
• Matter density perturbations in modified gravity models with arbitrary coupling between matter and geometry
• On the non-minimal gravitational coupling to matter
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
• Energy conditions, traversable wormholes and dust shells
• Mimicking dark matter through a non-minimal gravitational coupling with matter
• The viability of theories with matter coupled to the Ricci scalar
• Motion of test bodies in theories with nonminimal coupling
• Two-field Kähler moduli inflation on large volume moduli stabilization
• Dark matter as a dynamic effect due to a non-minimal gravitational coupling with matter

Cited by in corpus (123)

• f(R,T) gravity
• Modified-gravity wormholes without exotic matter
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• Generalized curvature-matter couplings in modified gravity
• Exact traversable wormhole solution in bumblebee gravity
• Wormholes supported by hybrid metric-Palatini gravity
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• The Shadow of a Rotating Traversable Wormhole
• Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Generalized energy conditions in Extended Theories of Gravity
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Wormhole Geometries In $f(R,T)$ Gravity
• Traversable asymptotically flat wormholes in Rastall gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Strong gravitational lensing by wormholes
• Energy conditions in modified Gauss-Bonnet gravity
• Traversable wormholes satisfying the weak energy condition in third-order Lovelock gravity
• New asymptotically flat phantom wormhole solutions
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Wormholes in 4D Einstein-Gauss-Bonnet Gravity
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Validation of Energy Conditions in Wormhole Geometry within Viable $f(R)$ Gravity
• Einstein-Cartan wormhole solutions
• Higher-dimensional evolving wormholes satisfying the null energy condition
• Dynamic thin-shell black-bounce traversable wormholes
• Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere
• Gravitational waves from quasinormal modes of a class of Lorentzian wormholes
• Geodesic deviation, Raychaudhuri equation, and tidal forces in modified gravity with an arbitrary curvature-matter coupling
• Wormhole solutions in $f(R,L_m)$ gravity
• Shadow images of Kerr-like wormholes
• Wormhole in $f(Q)$ gravity
• Traversable Wormholes and Time Machines in non-minimally coupled curvature-matter $f(R)$ theories
• Gravitational waves in theories with a non-minimal curvature-matter coupling
• Static spherically symmetric wormholes in $f(Q,T)$ gravity
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity
• Wormholes with nonexotic matter in Born-Infeld gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Neutron stars in $f(\mathtt{R},{\mathtt{L}}_{\mathtt{m}})$ gravity with realistic equations of state: joint-constrains with GW170817, massive pulsars, and the PSR J0030+0451 mass-radius from $NICER$ data
• Wormholes minimally violating the null energy condition
• Complexity Factor For Anisotropic Source in Non-minimal Coupling Metric $f(R)$ Gravity
• Traversable Wormholes in $f(R,T)$ Gravity
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• On the consistency of non-minimally coupled f(R) gravity
• Wormhole geometries in Eddington-inspired Born-Infeld gravity
• Conformally symmetric traversable wormholes in modified teleparallel gravity
• Novel third-order Lovelock wormhole solutions
• Static spherically symmetric wormholes in generalized $f(R,\varphi )$ gravity
• Self-sustained wormholes in modified dispersion relations
• Quasinormal modes of massive scalar fields in four-dimensional wormholes: anomalous decay rate
• Wormhole geometries supported by three-form fields
• Cosmology from non-minimal geometry-matter coupling
• Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity
• Exact wormhole solutions with nonminimal kinetic coupling
• Shadow of charged wormholes in Einstein-Maxwell-dilaton theory
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• From the Flamm-Einstein-Rosen bridge to the modern renaissance of traversable wormholes
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity
• Wormhole solutions with a polynomial equation-of-state and minimal violation of the null energy condition
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• Traversable wormholes in $f(R)$-massive gravity
• Quark stars with 2.6 $M_{\odot }$ in a non-minimal geometry-matter coupling theory of gravity
• $f(\mathsf{R})$ Gravity Wormholes sourced by a Phantom Scalar Field
• Echoes of Compact Objects in Scalar-Tensor Theories of Gravity
• Asymptotically flat wormhole solutions with variable equation-of-state parameter
• Evolving wormhole in the brane-world scenario
• Static traversable wormholes in Lyra manifold
• Phantom Wormhole Solutions in a Generic Cosmological Constant Background
• Exact solutions of Brans-Dicke wormholes in the presence of matter
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• Phantom fluid wormhole in $f(R,T)$ gravity
• Palatini wormholes and energy conditions from the prism of General Relativity
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Massive white dwarfs in $f(R,L_m)$ gravity
• Dynamical wormholes in Lovelock gravity
• General constraints on Horndeski wormhole throats
• Dynamical analysis of nonminimal coupled theories
• Exploring wormhole solutions in curvature-matter coupling gravity supported by noncommutative geometry and conformal symmetry
• Wormhole solution in modified teleparallel-Rastall gravity and energy conditions
• Uniqueness theorem for static wormholes in Einstein-phantom scalar field theory
• Rip cosmologies, Wormhole Solutions and Big Trip in the $f(T,\mathcal{T})$ theory of gravity
• Generalised Ellis-Bronnikov wormholes embedded in warped braneworld background and energy conditions
• Wormhole Geometry and Three-Dimensional Embedding in Extended Symmetric Teleparallel Gravity
• Propagation of Test Particles and Scalar Fields on a Class of Wormhole Space-Times
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• Gravity's Rainbow induces Topology Change
• Hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling theory of gravity
• Caustics of $1/r^n$ binary gravitational lenses: from galactic haloes to exotic matter
• $f(Q,L_m)$ gravity, and its cosmological implications
• Traversable wormholes without exotic matter in multimetric repulsive gravity
• Energy-Momentum Squared Gravity: A Brief Overview
• Lessons from $f(R,R_c^2,R_m^2,L_m)$ gravity: Smooth Gauss-Bonnet limit, energy-momentum conservation and nonminimal coupling
• Regular Instantons in the Eddington-inspired-Born-Infeld Gravity: Lorentzian Wormholes from Bubble Nucleations
• Energy conditions in f(T) gravity with higher-derivative torsion terms
• Uniqueness theorem for static phantom wormholes in Einstein-Maxwell-dilaton theory
• Viability of nonminimally coupled f (R) gravity
• Novel triple barrier potential for axial gravitational perturbations of a family of Lorentzian wormholes
• Stable soliton dark matter wormhole in non-minimally coupled $f(\mathcal{Q},\mathcal{T})$ gravity
• Formation of Bound States of scalar fields in AdS-asymptotic Wormholes
• Thin-shell wormholes in de Rham-Gabadadze-Tolley massive gravity
• Stealth Ellis Wormholes In Horndeski theories
• Wormhole geometries induced by action-dependent Lagrangian theories
• Classical and semi-classical energy conditions
• Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity
• Kinetic gravity braiding wormhole geometries
• Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity
• Gravitational Wormholes
• Evolving Wormholes in a Cosmological Background
• Modified Gravity with Nonminimal Curvature-Matter Couplings: A Framework for Gravitationally Induced Particle Creation
• Wormholes with matter haunted by conformally coupled ghosts
• Self-force of a scalar charge in the space-time of extreme charged anti-dilatonic wormhole
• Geodesics in Generalised Ellis-Bronnikov Spacetime Embedded in Warped 5D Background
• Determining the Topology and Deflection Angle of Ringholes via Gauss-Bonnet Theorem
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Wormholes and Time-Machines in Nonminimally Coupled Matter-Curvature Theories of Gravity
• Traversable wormholes and energy conditions in Lovelock-Brans-Dicke gravity
• Wormholes in the Non-minimally Coupled Gravity with Electromagnetism
• Cosmological and astrophysical applications of modified theories of gravity
• Vector wormholes as conduits for matter interaction
• Charged galactic wormholes: shadow imaging, accretion disks, and charged-particle deflection