Static traversable wormhole solutions in $f(R,L_m)$ gravity

Abstract

In this study, we explore the new wormhole solutions in the framework of new modified $f(R,L_m)$ gravity. To obtain a characteristic wormhole solution, we use anisotropic matter distribution and a specific form of energy density. As second adopt the isotropic case with a linear EoS relation as a general technique for the system and discuss several physical attributes of the system under the wormhole geometry. Detailed analytical and graphical discussion about the matter contents via energy conditions is discussed. In both cases, the shape function of wormhole geometry satisfies the required conditions. Several interesting points have evolved from the entire investigation along with the features of the exotic matter within the wormhole geometry. Finally, we have concluding remarks.

Chinese Journal of Physics accepted version

References in corpus (19)

• Extra force in $f(R)$ modified theories of gravity
• 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
• Generalized curvature-matter couplings in modified gravity
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Static wormhole solution for higher-dimensional gravity in vacuum
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Searching for higher dimensional wormholes with noncommutative geometry
• Light deflection by charged wormholes in Einstein-Maxwell-dilaton theory
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Constraining Anisotropic Cosmological Model in $f(\mathcal{R},{\mathcal{L}}_m)$ Gravity
• A Killing Vector Treatment of Multiboundary Wormholes
• Baryogenesis in $f(R,L_m)$ gravity
• Smeared Mass Source Wormholes in Modified $f(R)$ Gravity with the Lorentzian Density Distribution Function