Stable soliton dark matter wormhole in non-minimally coupled $f(\mathcal{Q},\mathcal{T})$ gravity

Abstract

We show that non-minimal coupling between matter and geometry can indeed help in constructing stable, traversable, wormholes (WHs) without requiring exotic matter under certain conditions. In models like $f(\mathcal{Q},\mathcal{T})=\mathcal{Q}+\beta \mathcal{T}$ gravity, where $\mathcal{Q}$ is the non-metricity scalar, and $\mathcal{T}$ is the trace of the energy-momentum tensor, the coupling between matter and geometry introduces additional degrees of freedom in terms of the parameter $\beta$. These can mimic the effects of exotic matter or even replace it entirely under specific parameter choice. The analysis involves deriving WH shape functions based on two dark matter (DM) density profiles: a solitonic core at the center of DM halos, and the outer halo follows the universal Navarro-Frenk-White (NFW) density profile of cold DM (CDM). The wormhole solutions derived in these models satisfy important geometric conditions like: Flaring-out condition (necessary for traversability) and asymptotic flatness condition. For large positive coupling parameter, the null energy condition (NEC) can be satisfied at the wormhole throat, meaning exotic matter is not needed, while the wormhole is no longer Lorentzian and the flaring-out condition is broken. However, for large negative coupling parameter, the NEC can be satisfied, allowing for healthy wormholes without exotic matter, provided the coupling strength remains within certain bounds. In the latter case, the NEC is broken only effectively. We investigate the stability of the obtained wormhole solutions by virtue of a modified version of Tolman-Oppenheimer-Volkoff (TOV) equation, which includes a new force due to matter-geometry non-minimal, showing that these wormholes can be dynamically stable.

23 pages, 12 figures, will appear in JCAP

References in corpus (39)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• f(R,T) gravity
• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• Wormhole geometries in f(R) modified theories of gravity
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Understanding the Core-Halo Relation of Quantum Wave Dark Matter, $\psi$DM, from 3D Simulations
• Teleparallel Gravity: From Theory to Cosmology
• Modelling wormholes in $f(R,T)$ gravity
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• Energy Conditions in $f(Q)$ gravity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Wormhole geometries in $f(Q)$ gravity and the energy conditions
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Cosmic acceleration with bulk viscosity in modified $f(Q)$ gravity
• Brans wormholes
• LITTLE THINGS in 3D: robust determination of the circular velocity of dwarf irregular galaxies
• Light curves of light rays passing through a wormhole
• Humanly traversable wormholes
• Possible existence of wormholes in the central regions of halos
• Constraining $f(Q,T)$ gravity from energy conditions
• Casimir Wormholes in Modified Symmetric Teleparallel Gravity
• Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions
• Static spherically symmetric wormholes in $f(Q,T)$ gravity
• Gravitational waves from bodies orbiting the Galactic Center black hole and their detectability by LISA
• The BINGO Project I: Baryon Acoustic Oscillations from Integrated Neutral Gas Observations
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Late-time cosmology in $f(Q,L_m)$ gravity: Analytical solutions and observational fits
• Wormhole solutions in $f(Q,T)$ gravity with a radial dependent B parameter
• Geometrically deformed charged anisotropic models in $f(Q,T)$ gravity
• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• Confronting fuzzy dark matter with the rotation curves of nearby dwarf irregular galaxies
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• Extended Tolman III and VII solutions in $f(\mathcal{R},T)$ gravity: Models for neutron stars and supermassive stars
• Analytic Solutions and Observational support: A study of $f(R,T)$ gravity with $f(R,T)=R+h(T)$
• Viscous fluid cosmology in symmetric teleparallel gravity
• Gravitational perturbations in the Newman-Penrose formalism: Applications to wormholes
• Searching for wormholes with gravitational wave scattering
• Traversable wormholes with multiple unstable critical curves