Non-singular solutions to Einstein-Klein-Gordon equations with a phantom scalar field

Abstract

It is shown that the 4D Einstein-Klein-Gordon equations with a phantom scalar field (a scalar field with a negative sign in front of the kinetic energy term of its Lagrange density) has non-singular, spherically symmetry solutions. These solutions have a combination of features found in other spherically symmetric gravity plus field solutions. A stability analysis on these solutions indicates they are unstable.

final version

Cited by in corpus (36)

• Dynamical Boson Stars
• Anisotropic solutions by gravitational decoupling
• Instabilities of wormholes and regular black holes supported by a phantom scalar field
• Galactic Dark Matter in the Phantom Field
• Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domain
• Phantom stars and topology change
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
• Dark Energy Stars in Tolman-Kuchowicz spacetime in the context of Einstein Gravity
• Exact dark energy star solutions
• Stable Gravastars of Anisotropic Dark Energy
• Gravastars and Black Holes of Anisotropic Dark Energy
• Mixed neutron-star-plus-wormhole systems: Linear stability analysis
• Chameleon stars
• Hiding a neutron star inside a wormhole
• Mixed neutron-star-plus-wormhole systems: Equilibrium configurations
• Ellis Wormholes in Anti-De Sitter Space
• Wormhole solutions with a complex ghost scalar field and their instability
• Traversable $\ell$-wormholes supported by ghost scalar fields
• Radiating Gravastars
• Cloud of strings as source in $2+1$-dimensional $f(R)=R^n$ gravity
• Wormhole solutions supported by interacting dark matter and dark energy
• On the stability of spherically symmetric and wormhole solutions supported by the sine-Gordon ghost scalar field
• Possible dark energy imprints in gravitational wave spectrum of mixed neutron-dark-energy stars
• Non--Abelian Wormholes Threaded by Yang--Mills--Higgs Field in the BPS Limit
• Axially symmetric Proca-Higgs boson stars
• Phantom hairy black holes and wormholes in Einstein-bumblebee gravity
• The simplest model of a scalarized black hole in the Einstein-Klein-Gordon theory
• Gauge-invariant spherical linear perturbations of wormholes in Einstein gravity minimally coupled to a self-interacting phantom scalar field
• Gravitating Scalarons with Inverted Higgs Potential
• Dynamical evolution of phantom scalar perturbation in the background of Schwarzschild black String spacetime
• Confinement of exotic matter. I. Static solutions
• Compact and extended objects from self-interacting phantom fields
• Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential
• Moduli stabilization with bulk scalar in nested doubly warped braneworld model
• Chameleon dark matter stars
• Self-interacting scalar field in (2+1) dimensions Einstein gravity with torsion