The Ellis wormhole with `tachyon matter'

Abstract

The Ellis wormhole is known to be an exact solution of the Einstein--scalar system where the scalar field has negative kinetic energy (phantom). We show here that the same geometry (in 3+1 dimensions) can also be obtained with `tachyon matter' as a source term in the field equations and a positive cosmological constant. The kink--like tachyon field profile and the nature of the tachyon potential are analyzed. It is shown that the field configuration and the spacetime are stable against linear scalar perturbations. Finally, we comment on extensions of the 3+1 dimensional Ellis wormhole (with tachyon matter source) in diverse dimensions (d=2+1 and d>4).

12 pages, 3 figures, content slightly modified, typos corrected and references added

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Cited by in corpus (33)

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• Stability analysis of dynamic thin shells
• Gravitational Microlensing by the Ellis Wormhole
• Thin-shell wormholes in d-dimensional general relativity: Solutions, properties, and stability
• Light curves of light rays passing through a wormhole
• Astrometric Image Centroid Displacements due to Gravitational Microlensing by the Ellis Wormhole
• Wave Effect in Gravitational Lensing by the Ellis Wormhole
• Retrolensing by a wormhole at deflection angles $\pi$ and $3\pi$
• Nonminimal coupling for the gravitational and electromagnetic fields: Traversable electric wormholes
• Extended source effect on microlensing light curves by an Ellis wormhole
• Wormhole Shadows in Rotating Dust
• Exact wormhole solutions with nonminimal kinetic coupling
• Scalar wormholes in cosmological setting and their instability
• A new class of stable $(2+1)$ dimensional thin shell wormhole
• Non-minimal Wu-Yang wormhole
• Thermodynamical properties of an ideal gas in a traversable wormhole
• Non-minimal Coupling of Torsion-matter Satisfying Null Energy Condition for Wormhole Solutions
• Dark sector impact on gravitational collapse of an electrically charged scalar field
• Collisional Penrose Process in Rotating Wormhole Spacetime
• Rotating thin-shell wormhole from glued Kerr spacetimes
• Dynamics of test particles in thin-shell wormhole spacetimes
• High energy particle collisions in static, spherically symmetric black-hole-like wormholes
• Thin-shell wormholes from black holes with dilaton and monopole fields
• Lorentzian wormholes in an emergent universe
• Cosmology without Einstein's assumption that inertial mass produces gravity
• How appropriate are the gravitational entropy proposals for traversable wormholes?
• Scalar multi-wormholes
• Lorentzian wormholes supported by tachyon matter
• A curious variant of Bronnikov-Ellis spacetime
• Non-singular flat universes in braneworld and Loop Quantum Cosmology
• Stability regions of glued wormholes with massless Kim-Lee backreacted spacetimes as interior
• Slowly rotating wormholes: the first order approximation