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.

4 pages, 7 figures

References in corpus (22)

• Dynamics of dark energy
• 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
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with arbitrary coupling between matter and geometry
• Dark energy and dark matter as curvature effects
• Dark matter as a geometric effect in f(R) gravity
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• 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?
• Generalized virial theorem in f(R) gravity
• On the non-minimal gravitational coupling to matter
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
• The viability of theories with matter coupled to the Ricci scalar
• Motion of test bodies in theories with nonminimal coupling

Cited by in corpus (35)

• f(R,T) gravity
• Modified-gravity wormholes without exotic matter
• Generalized curvature-matter couplings in modified gravity
• Wormholes supported by hybrid metric-Palatini gravity
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Generalized energy conditions in Extended Theories of Gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• New asymptotically flat phantom wormhole solutions
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Higher-dimensional evolving wormholes satisfying the null energy condition
• Geodesic deviation, Raychaudhuri equation, and tidal forces in modified gravity with an arbitrary curvature-matter coupling
• Static spherically symmetric wormholes in $f(Q,T)$ gravity
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Wormholes minimally violating the null energy condition
• Exact wormhole solutions with nonminimal kinetic coupling
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• 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
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• Wormhole solution in modified teleparallel-Rastall gravity and energy conditions
• Dynamical analysis of nonminimal coupled theories
• 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
• Wormhole Geometry and Three-Dimensional Embedding in Extended Symmetric Teleparallel Gravity
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• Lessons from $f(R,R_c^2,R_m^2,L_m)$ gravity: Smooth Gauss-Bonnet limit, energy-momentum conservation and nonminimal coupling
• Classical and semi-classical energy conditions
• Wormhole geometries induced by action-dependent Lagrangian theories
• Cosmological and astrophysical applications of modified theories of gravity