Wormhole Geometry and Three-Dimensional Embedding in Extended Symmetric Teleparallel Gravity

Abstract

In the present manuscript, we study traversable wormhole solutions in the background of extended symmetric teleparallel gravity with matter coupling. With the anisotropic matter distribution we probe the wormhole geometry for two different gravity models. Primarily, we consider the linear model $f(Q,T)=Q+2\xi T$. Firstly, we presume a logarithmic form of shape function and analyze the scenario for different redshift functions. Secondly, for a specific form of energy density, we derive a shape function and note its satisfying behavior. Next, for the non-linear model $f(Q,T)=Q+\alpha ,Q^2+\beta ,T$ and a specific shape function we examine the wormhole solution. Further, with the aid of embedding diagrams, we interpreted the geometry of wormhole models. Finally, we conclude results.

arXiv commentNew Astronomy published version

References in corpus (45)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Extended Theories of Gravity
• f(R,T) gravity
• Coincident General Relativity
• Traversable wormholes: Some simple examples
• Wormhole geometries in f(R) modified theories of gravity
• Cosmology in $f(Q)$ geometry
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• $f(Q,T)$ gravity
• The CHIME Fast Radio Burst Project: System Overview
• Dynamic wormholes, anti-trapped surfaces, and energy conditions
• Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• Possible wormholes in a brane world
• High Resolution Linear Polarimetric Imaging for the Event Horizon Telescope
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Possible existence of wormholes in the galactic halo region
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Wormhole Geometries In $f(R,T)$ Gravity
• Wormhole solutions in symmetric teleparallel gravity
• Traversable asymptotically flat wormholes in Rastall gravity
• Traversable wormhole geometries in $f(Q)$ gravity
• Wormholes without exotic matter in Einstein-Cartan theory
• Cosmic acceleration with bulk viscosity in modified $f(Q)$ gravity
• $f(Q,T)$ gravity models with observational constraints
• New asymptotically flat phantom wormhole solutions
• XIPE: the X-ray Imaging Polarimetry Explorer
• Baryogenesis in $f(Q,\mathcal{T})$ Gravity
• Cosmological Perturbation Theory in $f(Q,T)$ Gravity
• Validation of Energy Conditions in Wormhole Geometry within Viable $f(R)$ Gravity
• Einstein-Cartan wormhole solutions
• Wormholes and black universes without phantom fields in Einstein-Cartan theory
• Wormhole solutions in the Randall-Sundrum scenario
• Thin-shell wormholes with a generalized Chaplygin gas in Einstein-Born-Infeld theory
• Exotica ex nihilo: Traversable wormholes & non-singular black holes from the vacuum of quadratic gravity
• Can extra dimensional effects allow wormholes without exotic matter?
• 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
• Time-Dependent Wormhole Solutions of $f(R)$ Theory of Gravity and Energy Conditions
• Flare-out condition of Morris-Thorne wormhole and finiteness of pressure
• Evolving wormhole in the brane-world scenario
• $f(Q,T)$ gravity, its covariant formulation, energy conservation and phase-space analysis
• A note on the stability of Morris-Thorne wormholes

Cited by in corpus (2)

• Conformally symmetric wormhole solutions supported by non-commutative geometry in $f(Q,T)$ gravity
• Vulnerability of f(Q) gravity theory and a possible resolution