Traversable wormhole solutions with non-exotic fluid in framework of $f(Q)$ gravity

Abstract

The presence of exotic matter for the existence of the wormhole geometry has been an unavoidable problem in GR. In recent studies researchers have tried to deal with this issue using modified gravity theories where the WH geometry is explained by the extra curvature terms and NEC's are not violated signifying the standard matter in the WH geometry. In the present article we are trying to find the solutions of traversable wormholes with normal matter in the throat within the framework of symmetric teleparallel gravity $f(Q)$ where $Q$ is the non metricity scalar which defines the gravitational interaction. We will examine the wormhole geometries for three forms of function $f(Q)$. First is the linear form $f(Q)=\alpha Q$, second a non -linear form $f(Q)=\alpha Q^2+\beta$ and third one a more general quadratic form $f(Q)=\alpha Q^2+\beta Q+\gamma$ with $\alpha$, $\beta$ and $\gamma$ being the constants. For all the three cases the shape function is taken as $b(r)=\frac{r_0\ln (r+1)}{\ln (r_0+1)}$ where $r_0$ is the throat radius. A special variable redshift function is considered for the discussion. All the energy conditions are then examined for the existence and the stability of the wormhole geometry.

arXiv comment20 pages, 12 figures

References in corpus (41)

• Extended Theories of Gravity
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• Coincident General Relativity
• The teleparallel equivalent of general relativity
• Cosmology in $f(Q)$ geometry
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Phantom energy traversable wormholes
• Wormholes supported by a phantom energy
• Observational constraints of $f(Q)$ gravity
• Coupling matter in modified $Q$-gravity
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• Exact traversable wormhole solution in bumblebee gravity
• Wormholes supported by hybrid metric-Palatini gravity
• Modelling wormholes in $f(R,T)$ gravity
• Gravitational Lensing by Rotating Wormholes
• Energy Conditions in $f(Q)$ gravity
• Gravitational Energy-Momentum Density in Teleparallel Gravity
• Fate of the first traversible wormhole: black-hole collapse or inflationary expansion
• Testing some f(R,T) gravity models from energy conditions
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Traversable wormhole geometries in $f(Q)$ gravity
• Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Wormholes in 4D Einstein-Gauss-Bonnet Gravity
• Wormholes in exponential $f(R,T)$ gravity
• From wormhole to time machine: Comments on Hawking's Chronology Protection Conjecture
• Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms
• Gravitational waves from bodies orbiting the Galactic Center black hole and their detectability by LISA
• Composite vacuum Brans-Dicke wormholes
• Traversable Wormholes in $f(R,T)$ Gravity
• Anisotropic spheres via embedding approach in $\mathcal{R}+\beta {\mathcal{R}}^2$ gravity with matter coupling
• Conformally symmetric traversable wormholes in modified teleparallel gravity
• Studying Black Holes on Horizon Scales with VLBI Ground Arrays
• Noncommutative inspired wormholes admitting conformal motion involving minimal coupling
• Wormholes supported by phantom energy from Shan-Chen cosmological fluids
• A new shape function for wormholes in $f(R)$ gravity and General Relativity
• Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity

Cited by in corpus (15)

• The role of the boundary term in $f(Q,B)$ symmetric teleparallel gravity
• Casimir Wormholes in Modified Symmetric Teleparallel Gravity
• Wormhole in $f(Q)$ gravity
• Investigation of Traversable Wormhole Solutions in Modified $f(R)$ Gravity with Scalar Potential
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity
• Quintessence Behaviour of an Anisotropic Bulk Viscous Cosmological Model in Modified $f(Q)$-Gravity
• Buchdahl quark stars within $f(Q)$ theory
• An Axially Symmetric Transitioning models with Observational Constraints
• Constraining study of charged gravastars solutions in symmetric teleparallel gravity
• Transit String Dark Energy Models in $f(Q)$ Gravity
• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Deflection of light by wormholes and its shadow due to dark matter within modified symmetric teleparallel gravity formalism
• Validity of energy conditions of matter in traversable wormholes under the $f(Q)$ modified gravity theory
• Josephson junction formed in the wormhole space time from the analysis for the critical temperature of Bose-Einstein condensate