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.

AOP accepted version

References in corpus (21)

• Extra force in $f(R)$ modified theories of gravity
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• f(R,L_m) gravity
• Wormhole geometries in f(R) modified theories of gravity
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Searching for higher dimensional wormholes with noncommutative geometry
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Connecting early and late universe by $f(R)$ gravity
• Characterizing repulsive gravity with curvature eigenvalues
• Non-Local Gravity Wormholes
• Constraining Anisotropic Cosmological Model in $f(\mathcal{R},{\mathcal{L}}_m)$ Gravity
• A Killing Vector Treatment of Multiboundary Wormholes
• Non-commutative black holes of various genera in the connection formalism
• 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