Linear stability analysis of a rotating thin-shell wormhole

Abstract

We cut and paste two Banados-Teitelboim-Zanelli (BTZ) spacetimes at a throat by the Darmois-Israel method to construct a rotating wormhole with a thin shell filled with a barotropic fluid. The thin shell at the throat and both sides of the throat corotate. We investigate the linear stability of the thin shell of the rotating wormhole against radial perturbations. We show that the wormhole becomes more and more stable the larger its angular momentum is until the angular momentum reaches a critical value and that the behavior of a condition for stability significantly changes when the angular momentum exceeds the critical value. We find that the overcritical rotating wormhole has the radius of the thin shell, which is stable regardless of the equation of state for the barotropic fluid.

8 pages, 3 figures, title changed, minor correction, references added, accepted for publication in Physical Review D

References in corpus (19)

• Traversable wormholes: Some simple examples
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Stability of Chaplygin gas thin-shell wormholes
• Plane symmetric thin-shell wormholes: solutions and stability
• Instability of wormholes supported by a ghost scalar field. II. Nonlinear evolution
• Rotating Ellis Wormholes in Four Dimensions
• Stability of generic cylindrical thin shell wormholes
• Geometry of Spinning Ellis Wormholes
• New analytic models of traversable wormholes
• Relativistic Bose--Einstein condensates thin-shell wormholes
• General formalism for the stability of thin-shell wormholes in 2+1 dimensions
• High energy collision of two particles in wormhole spacetimes
• The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
• Counterrotational effects on stability of 2+1-dimensional thin-shell wormholes
• On the stability of thin-shell wormholes in noncommutative geometry
• On thin-shell wormholes evolving in flat FRW spacetimes
• Perturbative dynamics of thin-shell wormholes beyond general relativity: an alternative approach
• Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory

Cited by in corpus (16)

• Traversable Wormholes and Energy Conditions with Two Different Shape Functions in $f(R)$ Gravity
• Validation of Energy Conditions in Wormhole Geometry within Viable $f(R)$ Gravity
• Traversable Wormholes in $R+\alpha R^n$ Gravity
• Non violation of energy conditions in wormholes modelling
• Linearization stability of reflection-asymmetric thin-shell wormholes with double shadows
• Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions
• Exploring wormhole solutions with global monopole charge in the context of $f(Q)$ gravity
• Linearized Stability of Bardeen de-Sitter Thin-Shell Wormholes
• Linearized Stability of Harada Thin-Shell Wormholes
• Traversable Wormholes with Exponential Shape Function in Modified Gravity and in General Relativity: A Comparative Study
• Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid
• Generic spherically symmetric thin-shell wormholes with equilibrium throat at the innermost photonsphere are unstable
• Thin-shell wormholes in Einstein and Einstein-Gauss-Bonnet theories of gravity
• Decoding Horizonless Spacetime: Plasma-Induced Features in a Rotating Wormhole Shadow
• Thin-shell wormholes in cosmic voids
• Stability of Thin Shell and Wormhole Configurations: Schwarzschild, Schwarzschild -- (Anti-) de Sitter, and FLRW Spacetimes