Sources of matter for wormholes in a k-essence theory

Abstract

In this work, we analyze some matter sources associated with wormhole models within a k-essence theory coupled to the gravitational sector through a phantom scalar field. We adopt a spherically symmetric background in (3+1) dimensions and consider two types of systems: electrically and magnetically charged. In the first case, we consider the generalized Ellis-Bronnikov model, in which we fix the power of the kinetic term in the k-essence Lagrangian function to $n=1/2$ and take the parameter $m\ge 2$, which acts as a generalization factor for the geometry of the wormhole area function. From this, we obtained the expression for the scalar field, the potential, and the associated electromagnetic functions for any values of the parameter $m\ge 2$. In the second and third models, we consider the scenario of two wormholes that are structured according to the adjustment of the parameters that define the metric component associated with the area function ${\Sigma }^2$ (the $g_{22}$ component of the line element), and in both cases we adopt $n=1/2$. We show that the violation of the null energy conditions is conditioned by the parameters of the area function. Finally, we studied the linear stability of the models through the behavior of a test scalar field using both the WKB method and the time-domain evolution method.

20 pages, 8 figures. Comments are welcome. V2: 26 pages, some references add, 12 figures. Published in CQG

References in corpus (31)

• Regular black holes with a nonlinear electrodynamics source
• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Regular black holes and black universes
• A novel family of rotating black hole mimickers
• Field sources for Simpson-Visser space-times
• Charged black-bounce spacetimes
• Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit
• No realistic wormholes from ghost-free scalar-tensor phantom dark energy
• Gravitational lensing in a black-bounce traversable wormhole spacetime
• Relaxations of perturbations of spacetimes in general relativity coupled to nonlinear electrodynamics
• Analytical study of gravitational lensing in Kerr-Newman black-bounce spacetime
• Source of black bounces in general relativity
• Retrolensing by two photon spheres of a black-bounce spacetime
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• On black bounce space-times in non-linear electrodynamics
• From regular black holes to horizonless objects: quasi-normal modes, instabilities and spectroscopy
• Black bounces in conformal Killing gravity
• Black-Bounce in $f(T)$ Gravity
• Black Bounces with multiple throats and anti-throats
• Cylindrical black bounces and their field sources
• Generalized models for black-bounce solutions in $f(R)$ Gravity
• The simplest wormhole in Rastall and k-essence theories
• Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole
• Black bounces in Cotton gravity
• Scalar scattering by black holes and wormholes
• Light deflection and gravitational lensing effects inspired by loop quantum gravity
• Magnetically charged black-bounce solution via nonlinear electrodynamics in a k-essence theory
• Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity
• Field Sources for $f(R,R_{\mu \nu })$ Black-Bounce Solutions: The Case of K-Gravity
• Tidal Stretching and Compression in Black Bounce Backgrounds
• From Dark Radiation to Dark Energy: Unified Cosmological Evolution in K-essence Models