Energy Conditions and Stability of Charged Wormholes in $f(R,{\mathcal{L}}_m)$ Gravity: A Comparative Analysis with Compact Objects

Abstract

In this paper, we study the energy conditions of charged traversable wormholes in the framework of $f(R,{\mathcal{L}}_m)$ modified gravity. In the first case, we derive the shape functions (SFs) for two different choices of the charge function ${\mathcal{E}}^2$ by considering the Exponential Spheroid (ES) model and analyze the null energy condition (NEC). In the second case, we consider a particular shape function and study its implications for the energy conditions. In both cases, we obtain expressions for energy density and pressure in radial and tangential directions. Our findings show that the radial NEC remains satisfied across a wide range of charge parameters $\mathcal{E}$ consistent with established physical laws. However, the tangential NEC is only sustained in the range $0.1\le \mathcal{E}\le 0.6$; for higher charge values, violations occur, indicating the formation of a throat-like structure necessary for wormhole stability. Additionally, we compare the pressure-density profiles of these charged wormholes with those of compact objects such as neutron stars, revealing distinct variations in matter distribution. This analysis highlights the crucial role of charge and modified gravity in determining the stability and physical characteristics of wormhole structures.

arXiv comment29 pages, 12 figures, 1 table

References in corpus (31)

• f(R,T) gravity
• A unified equation of state of dense matter and neutron star structure
• Extra force in $f(R)$ modified theories of gravity
• f(R,L_m) gravity
• Wormhole geometries in f(R) modified theories of gravity
• Modified gravity with arbitrary coupling between matter and geometry
• Generalized curvature-matter couplings in modified gravity
• Modelling wormholes in $f(R,T)$ gravity
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Linearized stability of charged thin-shell wormholes
• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Energy conditions in $f(R,L_m)$ gravity
• Rotation Curve and Mass Distribution in the Galactic Center --- From Black Hole to Entire Galaxy ---
• Gravitational induced particle production through a nonminimal curvature-matter coupling
• Wormhole geometries in $f(Q)$ gravity and the energy conditions
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Wormholes without exotic matter in Einstein-Cartan theory
• Exact solutions of charged wormhole
• Traversable Wormholes and Energy Conditions with Two Different Shape Functions in $f(R)$ Gravity
• No realistic wormholes from ghost-free scalar-tensor phantom dark energy
• Cosmology in $f(R,L_m)$ gravity
• Wormhole solutions in $f(R,L_m)$ gravity
• Charged wormholes in f(R,T) extended theory of gravity
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• On the instability of charged wormholes supported by a ghost scalar field
• General approach to the Lagrangian ambiguity in $f(R,T)$ gravity
• Baryogenesis in $f(R,L_m)$ gravity
• Wormhole solutions under the effect of dark matter in $f(R,L_m)$ gravity
• Relativistic stellar modeling with perfect fluid core and anisotropic envelope fluid
• Distinct Classes of Compact Stars Based On Geometrically Deduced Equations of State
• A Study of Morris-Thorne Wormhole in Einstein-Cartan Theory