Static, Cylindrically Symmetric Spacetimes in the Coincident f(Q) Gravity

Abstract

In this paper we consider a static, cylindrically symmetric spacetime with coincident f(Q) gravity. Since the field equation of this spacetime in symmetric teleparallel gravity is suitable for choosing the function of f(Q) in the form of power series and exponential forms, perfect fluid solutions of these forms are discussed. Energy densities, directional pressures and energy conditions are plotted and analysed for a few different metric potentials. Although cosmic strings violate all energy conditions in both f(Q) functions, the Levi-Civita solution violates all energy conditions in the power law function of f(Q), but for exponential f(Q) gravity they are satisfied in small regions.

27 pages, comments are welcome

References in corpus (31)

• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• Energy Conditions in $f(Q)$ gravity
• Black holes in $f(\mathbb{Q})$ Gravity
• Wormhole geometries in $f(Q)$ gravity and the energy conditions
• Spherically symmetric configuration in $f(Q)$ gravity
• Comparing Equivalent Gravities: common features and differences
• Cylindrical solutions in metric f(R) gravity
• Can $f(Q)$ gravity challenge $\Lambda$CDM?
• Anisotropic nature of space-time in $f(Q)$ gravity
• Physical Characteristics and Maximum Allowable Mass of Hybrid Star in the Context of $f(Q)$ Gravity
• The role of the boundary term in $f(Q,B)$ symmetric teleparallel gravity
• Casimir Wormholes in Modified Symmetric Teleparallel Gravity
• Slow-roll inflation in $f(Q)$ non-metric gravity
• FLRW solutions in $f(Q)$ theory: the effect of using different connections
• Late-time acceleration in $f\left(Q\right)$ gravity: Analysis and constraints in an anisotropic background
• A class of static spherically symmetric solutions in $f(Q)$-gravity
• Quasinormal Modes of Black holes in $f(Q)$ gravity
• Reconstructing isotropic and anisotropic $f(\mathcal{Q})$ cosmologies
• Cylindrical Solutions in Modified f(T) Gravity
• Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Coincident f(Q) gravity: black holes, regular black holes and black bounces
• Quintessence Behaviour of an Anisotropic Bulk Viscous Cosmological Model in Modified $f(Q)$-Gravity
• Thermodynamical aspects of Bianchi type-I Universe in quadratic form of $f\left(Q\right)$ gravity and observational constraints
• Black hole solutions in scalar-tensor symmetric teleparallel gravity
• Comment on "Energy conditions in $f(Q)$ gravity"
• Anisotropic LRS-BI Universe with $f(Q)$ gravity theory
• Cylindrical spacetimes with a cosmological constant and their sources
• Energy condition bounds on $f(Q)$ model parameters in a curved FLRW universe
• Cosmological study of a symmetric teleparallel gravity model
• Cylindrically symmetric, static strings with a cosmological constant in Brans-Dicke theory