Vector wormholes as conduits for matter interaction

Abstract

In this work, we focus on the dynamics of a massive one-form field, \textbf{B}, often referred to simply as a vector field, that is minimally coupled to standard Einstein gravity. In the framework of four-dimensional spacetimes, the theory of a massive one-form propagates three massive vector degrees of freedom. The inclusion of a self-interacting potential in this theory results in the breaking of gauge invariance. The breaking of such a fundamental symmetry in Classical Electromagnetism may introduce a ghost mode in massive vector theories, which generally leads to their instability. However, in the context of wormhole physics, the existence of at least one ghost degree of freedom turns out to be a necessary condition to support these exotic geometries within effective field theories. This requirement serves as a strong motivation for our work, wherein we explore the role and phenomenology of massive one-forms, minimally coupled to Einstein gravity, in providing the necessary conditions to sustain wormhole spacetimes. We further analyze the coupling of matter fields to such a vector field through conformal couplings and explore their impact on energy conditions and the physical viability of wormhole solutions.

10 pages, 4 figures, 1 table. V2: matches published version

References in corpus (49)

• Traversable wormholes with arbitrarily small energy condition violations
• Wormhole geometries in f(R) modified theories of gravity
• Morris-Thorne wormholes with a cosmological constant
• Generalization of the Proca Action
• Modified-gravity wormholes without exotic matter
• Dynamics of scalar perturbations in f(R,T) gravity
• Possible wormholes in a brane world
• Wormholes supported by hybrid metric-Palatini gravity
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• The anisotropic power spectrum and bispectrum in the f(phi) F^2 mechanism
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Warp drive basics
• Brans-Dicke wormholes in the Jordan and Einstein frames
• A general class of braneworld wormholes
• General class of wormhole geometries in conformal Weyl gravity
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Vector theories in cosmology
• Inflation from N-Forms and its stability
• No realistic wormholes from ghost-free scalar-tensor phantom dark energy
• Inflation and dark energy from three-forms
• P-nflation: generating cosmic Inflation with p-forms
• Self sustained phantom wormholes in semi-classical gravity
• General class of vacuum Brans-Dicke wormholes
• Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere
• Self-sustained traversable wormholes in noncommutative geometry
• Spin, torsion and violation of null energy condition in traversable wormholes
• Wormhole solutions in the Randall-Sundrum scenario
• Three-form cosmology
• Non-exotic traversable wormhole solutions in linear $f\left(R,T\right)$ gravity
• Generalized multi-Proca fields
• Coupled three-form dark energy
• Self-sustained wormholes in modified dispersion relations
• Wormhole geometries supported by three-form fields
• Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity
• Traversable Wormhole in Einstein 3-Form Theory With Self-Interacting Potential
• Exact solutions of Brans-Dicke wormholes in the presence of matter
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• Dynamics of three-form dark energy with dark matter couplings
• Inflation in a two 3-form fields scenario
• Regular Black Hole Interior Spacetime Supported by Three-Form Field
• Three-form inflation and non-Gaussianity
• The role of vector fields in modified gravity scenarios
• Traversable wormholes with double layer thin shells in quadratic gravity
• Static spherically symmetric three-form stars
• Black hole and naked singularity geometries supported by three-form fields
• Rotating traversable wormhole geometries in the presence of three-form fields
• Wormholes with matter haunted by conformally coupled ghosts