Validity of energy conditions of matter in traversable wormholes under the $f(Q)$ modified gravity theory

Abstract

In the framework of the theory of general relativity, in order to obtain stable traversable wormholes, matter needs to violate the null energy condition. It is well known that the violation of the energy condition (EC) of matter leads to various physical problems. To address this issue, researchers have turned their attention to exploring modified theories of gravity, aiming to avoid the violation of ECs by introducing geometric terms. In this paper, within the framework of the $f(Q)$ modified gravitational theory, we investigate the effectiveness of ECs for matter in traversable wormholes. We examine the compliance of four types of energy conditions (weak energy condition, null energy condition, dominant energy condition, and strong energy condition) in the model by selecting a power-law model for $f(Q)$ and considering different shape functions $b(r)$. Our study reveals that for traversable wormholes realized through the $f(Q)$ modified gravity theory using the power-law model $f(Q)=a(-Q{)}^n$, all four types of ECs for matter can be satisfied. There is no need to introduce exotic matter (violating the null energy condition) or special matter (violating other energy conditions) artificially in the physics of wormholes.

18 pages, 5 figures

References in corpus (23)

• Dark torsion as the cosmic speed-up
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• Energy Conditions in $f(Q)$ gravity
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Wormhole solutions in symmetric teleparallel gravity
• Wormhole geometries in $f(Q)$ gravity and the energy conditions
• Traversable wormhole geometries in $f(Q)$ gravity
• Cosmic acceleration with bulk viscosity in modified $f(Q)$ gravity
• Energy Conditions and Cosmic Acceleration
• Cosmic acceleration and energy conditions in $\Lambda$CDM symmetric teleparallel $f(Q)$ gravity
• The null energy condition and instability
• Energy Conditions and Supernovae Observations
• Non-exotic traversable wormhole solutions in linear $f\left(R,T\right)$ gravity
• Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity
• Constant sound speed and its thermodynamical interpretation in $f(Q)$ gravity
• Traversable wormhole solutions with non-exotic fluid in framework of $f(Q)$ gravity
• Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity
• Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling
• Embedding procedure and wormhole solutions in $f(Q)$ gravity
• Anisotropic LRS-BI Universe with $f(Q)$ gravity theory
• Cosmology with viscous generalized Chaplygin gas in $f(Q)$ gravity
• Energy Constraints for Evolving Spherical and Hyperbolic Wormholes in $f(R,T)$ Gravity

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• Deflection of light by wormholes and its shadow due to dark matter within modified symmetric teleparallel gravity formalism
• Wormhole Geometries Supported by Strange Quark Matter and Phantom-like Generalized Chaplygin gas within $f(Q)$ Gravity
• Research on high-frequency quasi-periodic oscillations in black bounce-type spacetime
• Observational constraints on the Kerr and its several single-parameter modified spacetimes using quasi-periodic oscillation data