Relativistic Bose--Einstein condensates thin-shell wormholes

Abstract

We construct traversable thin-shell wormholes which are asymptotically Ads/dS applying the cut and paste procedure for the case of an acoustic metric created by a relativistic Bose-Einstein condensate. We examine several definitions of the flare-out condition along with the violation or not of the energy conditions for such relativistic geometries. Under reasonable assumptions about the equation of state of the matter located at the shell, we concentrate on the mechanical stability of wormholes under radial perturbation preserving the original spherical symmetry. To do so, we consider linearized perturbations around static solutions. We obtain that dS acoustic wormholes remain stable under radial perturbations as long as they have small radius, such wormholes with finite radius do not violate the strong/null energy condition. Besides, we show that stable Ads wormhole satisfy some of the energy conditions whereas unstable Ads wormhole with large radii violate them.

12pp, 8 figures, https://journals.aps.org/prd/abstract/10.1103/PhysRevD.96.084022

References in corpus (15)

• Traversable wormholes: Some simple examples
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Static wormhole solution for higher-dimensional gravity in vacuum
• Plane symmetric thin-shell wormholes: solutions and stability
• Thin shell wormholes in higher dimensiaonal Einstein-Maxwell theory
• Thin-shell wormholes in dilaton gravity
• Cylindrical wormholes
• Thin-shell wormholes in Brans-Dicke gravity
• Gravitational dynamics in Bose Einstein condensates
• Traversable wormholes in a string cloud
• General formalism for the stability of thin-shell wormholes in 2+1 dimensions
• Wormholes and solitonic shells in five-dimensional DGP theory
• Once again on thin-shell wormholes in scalar-tensor gravity
• AdS and dS black hole solutions in analogue gravity: The relativistic and non-relativistic cases
• Flare-out conditions in static thin-shell wormholes

Cited by in corpus (9)

• Wormhole solutions in symmetric teleparallel gravity
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Thin-shell wormholes in Rastall gravity
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Weak deflection angle by Casimir wormhole using Gauss-bonnet theorem and its shadow
• Stability of Effective Thin-shell Wormholes Under Lorentz Symmetry Breaking Supported by Dark Matter and Dark Energy
• Traversable wormholes with double layer thin shells in quadratic gravity
• Does violation of Cosmic No-hair Conjecture guarantee the existence of Wormhole?