Discontinuity Problem in the Linear Stability Analysis of Thin-Shell Wormholes

Abstract

We investigate the infinite discontinuity points of stability diagram in thin-shell wormholes. The square of the speed of sound ${\beta }_0^2$,\ which is expressed in terms of pressure and energy density at equilibrium on the throat, arises with a divergent amplitude. As this is physically non-acceptable, \ we revise the equation of state, such that by fine-tuning of the pressure at static equilibrium, which is at our disposal, eliminates such a singularity. The efficacy of the method is shown in Schwarzschild, extremal Reissner-Nordström, and dilaton thin-shell wormholes.

arXiv comment10 pages, 6 figures

References in corpus (20)

• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• Traversable wormholes: Some simple examples
• Thin-shell wormholes: Linearization stability
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Linearized stability analysis of thin-shell wormholes with a cosmological constant
• Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity
• Linearized stability of charged thin-shell wormholes
• Thin-shell wormholes in Einstein-Maxwell theory with a Gauss-Bonnet term
• Cylindrical thin-shell wormholes
• Stability of thin-shell wormholes with spherical symmetry
• Thin-shell wormholes in d-dimensional general relativity: Solutions, properties, and stability
• Stability of Transparent Spherically Symmetric Thin Shells and Wormholes
• A note on linearized stability of Schwarzschild thin-shell wormholes with variable equations of state
• Mechanical Stability of Cylindrical Thin-Shell Wormholes
• Relativistic Bose--Einstein condensates thin-shell wormholes
• Cylindrical Thin-shell Wormholes in $f(R)$ gravity
• Asymmetric Thin-Shell Wormholes
• Confined-exotic-matter wormholes with no gluing effects -- Imaging supermassive wormholes and black holes
• Fate of a Thin-Shell Wormhole Powered by Morris-Thorne Wormhole
• Note on a thin-shell wormhole in extremal Reissner-Nordström geometry

Cited by in corpus (5)

• Linearization stability of reflection-asymmetric thin-shell wormholes with double shadows
• Linearized Stability of Bardeen de-Sitter Thin-Shell Wormholes
• Linearized Stability of Harada Thin-Shell Wormholes
• Thin-shell Wormholes with Ordinary Matter in Pure Gauss-Bonnet Gravity
• A Closed Universe: de Sitter Cosmic Gate