Static spherically symmetric wormholes in $f(Q,T)$ gravity

Abstract

In this article we obtain wormhole solutions in the recently proposed extension of symmetric teleparallel gravity called $f(Q,T)$ gravity. Here, the gravitational Lagrangian $L$ is defined by an arbitrary function $f$ of $Q$ and $T$ (where $Q$ is the non-metricity scalar, while $T$ is the trace of the energy-momentum tensor). In this study, we obtain the field equations for a static spherically symmetric wormhole metric in the context of a general $f(Q,T)$ gravity. We study the wormhole solutions with (i) linear EoS and (ii) anisotropy relation. We adopt two different forms of $f(Q,T)$ (a) linear $f(Q,T)=\alpha Q+\beta T$ and (b) non-linear $f(Q,T)=Q+\lambda Q^2+\eta T$ to investigate these solutions. We investigate the various energy conditions to look for preservation and violation among the solutions that we obtained. We find that NEC is violated in both cases of our assumed forms of $f(Q,T)$. Finally, we perform the stability analysis using Tolman-Oppenheimer-Volkov (TOV) equation.

Chinese Physics C accepted version

References in corpus (29)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Traversable wormholes: Some simple examples
• Wormhole geometries in f(R) modified theories of gravity
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Modelling wormholes in $f(R,T)$ gravity
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Signatures of $f(Q)$-gravity in cosmology
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Black holes in $f(\mathbb{Q})$ Gravity
• Wormhole solutions in symmetric teleparallel gravity
• Spherically symmetric configuration in $f(Q)$ gravity
• Traversable wormhole geometries in $f(Q)$ gravity
• Wormholes in a viable f(T) gravity
• A general class of braneworld wormholes
• Cosmic acceleration with bulk viscosity in modified $f(Q)$ gravity
• $f(Q,T)$ gravity models with observational constraints
• New asymptotically flat phantom wormhole solutions
• Baryogenesis in $f(Q,\mathcal{T})$ Gravity
• Humanly traversable wormholes
• Cosmological Perturbation Theory in $f(Q,T)$ Gravity
• Phantom stars and topology change
• Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions
• Wormholes and black universes without phantom fields in Einstein-Cartan theory
• Wormhole Solutions in Gauss-Bonnet-Born-Infeld Gravity
• Wormhole with varying cosmological constant
• Nonminimal coupling for the gravitational and electromagnetic fields: Traversable electric wormholes
• Transit cosmological models with observational constraints in f(Q, T) gravity
• Evolving wormhole in the brane-world scenario
• Novel couplings between nonmetricity and matter

Cited by in corpus (29)

• A class of static spherically symmetric solutions in $f(Q)$-gravity
• Existence of Wormhole Solutions in $f(Q,T)$ Gravity under Non-commutative Geometries
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Thin-Shell Gravastar Model in $f(Q,T)$ Gravity
• Wormhole solutions in $f(Q,T)$ gravity with a radial dependent B parameter
• Late-time cosmology in $f(Q,L_m)$ gravity: Analytical solutions and observational fits
• Constraining $f(Q,L_m)$ gravity with bulk viscosity
• Observational analysis of late-time acceleration in $f(Q,L_m)$ gravity
• Exploring accelerated expansion in the universe: A study of $f(Q,T)$ gravity with parameterized EoS and cosmological constraints
• Physical Analysis of Spherical Stellar Structures in $f(\mathrm{Q},\mathrm{T})$ Theory
• Cosmological implications of the constant jerk parameter in $f(Q,T)$ gravity theory
• Impact of dark matter galactic halo models on wormhole geometry within $f(Q,T)$ gravity
• Possibility of the Traversable Wormholes in the Galactic Halos within $4D$ Einstein-Gauss-Bonnet Gravity
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• Gravastar model in Krori-Barua metric under $f(Q)$ gravity
• The dynamics of matter bounce cosmology in Weyl-type $f(Q,T)$ gravity
• Constraints on anisotropic properties of the universe in $f(Q,T)$ gravity theory
• Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within $f(Q)$ gravity
• Exploring wormhole solutions with global monopole charge in the context of $f(Q)$ gravity
• Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity
• Geometrical Trinity of Unimodular Gravity
• $f(Q,T)$ gravity, its covariant formulation, energy conservation and phase-space analysis
• Stable soliton dark matter wormhole in non-minimally coupled $f(\mathcal{Q},\mathcal{T})$ gravity
• $f(Q,T)$ gravity: From early to late-time cosmic acceleration
• Wormhole solutions under the effect of dark matter in $f(R,L_m)$ gravity
• Statistical and Observation Comparison of Weyl-Type $f(Q,T)$ Models with the $\Lambda$CDM Paradigm
• Conservative wormholes in generalized $\kappa (\mathcal{R},\mathcal{T})$-function
• Investigating the compatibility of exact solutions in Weyl-type $f(Q,T)$ gravity with observational data
• Wormhole Solutions and Pre-inflationary Epoch in $F(R,T)$ Gravity with Axion Fields