On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity

Abstract

Non-commutativity is a key feature of spacetime geometry. The current article explores the traversable wormhole solutions in the framework of $f(R,L_m)$ gravity within non-commutative geometry. By using the Gaussian and Lorentzian distributions, we construct tideless wormholes for the nonlinear $f(R,L_m)$ model $f(R,L_m)=\frac{R}{2}+L_m^{\alpha }$. For both cases, we derive shape functions and discuss the required different properties with satisfying behavior. For the required wormhole properties, we develop some new constraints. The influence of the involved model parameter on energy conditions is analyzed graphically which provides a discussion about the nature of exotic matter. Further, we check the physical behavior regarding the stability of wormhole solutions through the TOV equation. An interesting feature regarding the stability of the obtained solutions via the speed of sound parameters within the scope of average pressure is discussed. Finally, we conclude our results.

arXiv commentAOP accepted version

References in corpus (57)

• String Theory and Noncommutative Geometry
• Extra force in $f(R)$ modified theories of gravity
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Noncommutative geometry inspired Schwarzschild black hole
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• f(R,L_m) gravity
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Wormhole geometries in f(R) modified theories of gravity
• Reconciling dark energy models with f(R) theories
• Thin-shell wormholes: Linearization stability
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Wormholes supported by a phantom energy
• Action functionals for relativistic perfect fluids
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Eddington's theory of gravity and its progeny
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Noncommutative Geometry and Gravity
• Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• Feynman Path Integral on the Noncommutative Plane
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• Energy's and amplitudes' positivity
• Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Eternal traversable wormhole
• On a class of stable, traversable Lorentzian wormholes in classical general relativity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Possible existence of wormholes in the galactic halo region
• Energy conditions in $f(R,L_m)$ gravity
• Noncommutative geometry inspired dirty black holes
• Modified gravity with R-matter couplings and (non-)geodesic motion
• Traversable wormhole geometries in $f(Q)$ gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Searching for higher dimensional wormholes with noncommutative geometry
• Cosmology in $f(R,L_m)$ gravity
• The world is not enough
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• How to tell the shape of a wormhole by its quasinormal modes
• Thin-shell wormholes from charged black holes in generalized dilaton-axion gravity
• A theoretical construction of wormhole supported by Phantom Energy
• Connecting early and late universe by $f(R)$ gravity
• To gauge or not to gauge?
• Traversable wormholes in the extended teleparallel theory of gravity with matter coupling
• Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity
• Thin-shell wormholes from regular charged black holes
• Characterizing repulsive gravity with curvature eigenvalues
• Non-Local Gravity Wormholes
• Lorentz-Invariant Non-Commutative Space-Time Based On DFR Algebra
• Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity
• Constraining Anisotropic Cosmological Model in $f(\mathcal{R},{\mathcal{L}}_m)$ Gravity
• A Killing Vector Treatment of Multiboundary Wormholes
• Traversable wormholes in four dimensions
• Stability of Thin-Shell Wormholes in Nonlinear Electrodynamics
• Non-commutative black holes of various genera in the connection formalism
• New Traversable Wormholes Solutions in $f(T)$ Gravity
• On the stability of thin-shell wormholes in noncommutative geometry

Cited by in corpus (5)

• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• Exploring wormhole solutions in curvature-matter coupling gravity supported by noncommutative geometry and conformal symmetry
• Conformally symmetric wormhole solutions supported by non-commutative geometry in $f(Q,T)$ gravity
• GUP corrected Casimir Wormholes with Electric Charge in $f(R,L_m)$ Gravity
• Wormhole Solutions in deformed space-time