Geometric structures of Morris-Thorne wormhole metric in $f(R,L_m)$ gravity and energy conditions

Abstract

The aim of this manuscript is to study the traversable wormhole (WH) geometries in the curvature matter coupling gravity. We investigate static spherically symmetric Morris-Thorne WHs within the context of $f(R,L_m)$ gravity. To accomplish this, we examine the WH model in four different cases (i) linear $f(R,L_m)$ model, $f(R,L_m)=\alpha R+\beta L_m$ with anisotropic matter distribution having the relation $p_r=m{p}_t$ (ii) linear $f(R,L_m)$ model having anisotropic matter distribution along with the equation of state parameter, $p_r=\omega \rho$, (iii) non-linear model $f(R,L_m)=\frac{1}{2}R+L_m^{\eta }$ with specific form of energy density and (iv) non-linear $f(R,L_m)$ model, $f(R,L_m)=\frac{1}{2}R+(1+\xi R)L_m$ with isotropic matter distribution and having the linear relation between pressure and energy density, $p=\omega \rho$. Additionally, in the latter case, we consider a specific power-law shape function $b(r)=r_0{\left(\frac{r_0}{r}\right)}^n$. Furthermore, we analyze the energy conditions for each WH model to verify their physical viability. As a novel outcome, we can see the validation of the null energy condition for the $f(R,L_m)$ model that suggests ruling out the necessity of exotic matter for the traversability of the WH. At last, an embedding diagram for each model is illustrated that describes the WH geometry.

arXiv commentPhysica Scripta accepted version

References in corpus (38)

• f(R,T) gravity
• Extra force in $f(R)$ modified theories of gravity
• Traversable wormholes: Some simple examples
• 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
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• 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?
• Dynamic wormholes, anti-trapped surfaces, and energy conditions
• Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Modified gravity with arbitrary coupling between matter and geometry
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• Exact traversable wormhole solution in bumblebee gravity
• Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• On a class of stable, traversable Lorentzian wormholes in classical general relativity
• 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
• Wormhole Geometries In $f(R,T)$ Gravity
• Gravitational induced particle production through a nonminimal curvature-matter coupling
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Searching for higher dimensional wormholes with noncommutative geometry
• Humanly traversable wormholes
• Can higher order curvature theories explain rotation curves of galaxies?
• Cosmology in $f(R,L_m)$ gravity
• Validation of Energy Conditions in Wormhole Geometry within Viable $f(R)$ Gravity
• Light deflection by charged wormholes in Einstein-Maxwell-dilaton theory
• Dynamic thin-shell black-bounce traversable wormholes
• The world is not enough
• Wormholes and Ringholes in a Dark-Energy Universe
• Traversable wormholes in the extended teleparallel theory of gravity with matter coupling
• Wormhole Solutions in Rastall Gravity Theory
• Cosmology from non-minimal geometry-matter coupling
• Static spherically symmetric wormholes with isotropic pressure
• Higher-Derivative $f(R,\square R,T)$ Theories of Gravity

Cited by in corpus (3)

• Moment of inertia and compactness of quark stars within the context of $f(R,T,L_m)$ gravity
• Conformally symmetric wormhole solutions supported by non-commutative geometry in $f(Q,T)$ gravity
• Dynamics of Dissipative Gravitational Collapse in the Morris-Thorne Wormhole Metric: One Scenario -- Several Outcomes