Traversable Wormholes in Minimally Geometrical Deformed Trace-Free Gravity using Gravitational Decoupling

Abstract

In this work, we investigate wormhole solutions through the utilization of gravitational decoupling, employing the Minimal Geometric Deformation (MGD) procedure within the framework of Trace-Free Gravity. We base our investigation on static and spherically symmetric Morris-Thorne traversable wormholes, considering both constant and variable equation of state parameters. We derive the field equations and extract the shape function for each scenario. Moreover, we explore the gravitational decoupling technique and examine various forms of energy density for both a smeared and particle-like gravitational source, encompassing the realm of noncommutative geometry and a statically charged fluid. We also examinethe wormhole geometry through the utilization of embedding diagrams. Through our analysis, we uncover a violation of the Null Energy Condition (NEC). To conclude, we employ the Gauss-Bonnet theorem to determine the weak deflection angle for the wormhole configurations.

arXiv commentv1: 24 pages, many figures

References in corpus (63)

• Noncommutative geometry inspired Schwarzschild black hole
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• Anisotropic solutions by gravitational decoupling
• Decoupling gravitational sources in general relativity: the extended case
• Feynman Path Integral on the Noncommutative Plane
• Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Gravitational lensing in the Kerr-Randers optical geometry
• Exact traversable wormhole solution in bumblebee gravity
• Scale invariance, unimodular gravity and dark energy
• Gravitational Lensing by Rotating Wormholes
• Gravitational deflection of light and shadow cast by rotating Kalb-Ramond black holes
• Tolman IV solution in the Randall-Sundrum Braneworld
• Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem
• Black holes by gravitational decoupling
• Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment
• The Minimal Geometric Deformation Approach Extended
• Gravitational lensing of wormholes in the galactic halo region
• Wormhole Shadows
• Gravitomagnetic bending angle of light with finite-distance corrections in stationary axisymmetric spacetimes
• Gravitational Microlensing by the Ellis Wormhole
• Hairy black holes by gravitational decoupling
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Casimir Wormholes
• Observing a wormhole
• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• Brane-world stars with solid crust and vacuum exterior
• Deflection Angle and Shadow Behaviors of Quintessential Black Holes in arbitrary Dimensions
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• Astrometric Image Centroid Displacements due to Gravitational Microlensing by the Ellis Wormhole
• The Trace-Free Einstein Equations and inflation
• Gravitational lensing by scalar-tensor wormholes and the energy conditions
• Compact Anisotropic Models in General Relativity by Gravitational Decoupling
• Unimodular relativity and cosmological constant
• Charged anisotropic compact objects by gravitational decoupling
• Dark matter effect on the weak deflection angle by black holes at the center of Milky Way and M87 galaxies
• Wormhole inspired by non-commutative geometry
• Self sustained phantom wormholes in semi-classical gravity
• Self-sustained traversable wormholes in noncommutative geometry
• On unimodular quantum gravity
• Unimodular gravity and general relativity from graviton self-interactions
• Cosmological wormholes in $f(R)$ theories of gravity
• Black Strings from Minimal Geometric Deformation in a Variable Tension Brane-World
• Unimodular loop quantum gravity and the problems of time
• Gravitational lensing effect in traversable wormholes
• Rotating hairy black holes and thermodynamics from gravitational decoupling
• Effect of the magnetic charge on weak deflection angle and greybody bound of the black hole in Einstein-Gauss-Bonnet gravity
• Self Sustained Traversable Wormholes?
• Darkness without dark matter and energy -- generalized unimodular gravity
• Can a primordial black hole or wormhole grow as fast as the universe?
• Entropic force approach to noncommutative Schwarzschild black holes signals a failure of current physical ideas
• Anisotropic Fluid Cosmology: an Alternative to Dark Matter?
• Phantom evolving wormholes with big rip singularities
• Hairy Kiselev Black Hole Solutions
• Black hole evaporation in a spherically symmetric non-commutative space-time
• Traversable holographic dark energy wormholes constrained by astronomical observations
• Unimodular Gravity Traversable Wormholes
• Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in $f(\mathcal{T},\mathcal{B})$ gravity
• First Order formulation of Unimodular Gravity
• Collapsing Wormholes Sustained by Dustlike Matter
• Gravitational lensing in Brill spacetimes

Cited by in corpus (5)

• Modified particle dynamics and thermodynamics in a traversable wormhole in bumblebee gravity
• Analyzing the Influence of Geometrical Deformation on Photon Sphere and Shadow Radius: A New Analytical Approach -- Spherically Symmetric Spacetimes
• Traversable Wormholes in Einstein-Euler-Heisenberg Gravity: Geometry, Energy Conditions, and Gravitational Lensing
• Analyzing the Influence of Geometrical Deformation on Photon Sphere and Shadow Radius: A New Analytical Approach -Stationary, and Axisymmetric Spacetime
• Matter Geometry Coupling and Casimir Wormhole Geometry