2018/07/31 by Naoki Tsukamoto, Takafumi Kokubu · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Angular momentum #Barotropic fluid #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Materials science #Mechanics #Physics #RADIUS #Shell (structure) #Spherical shell #Wormhole #gr-qc
paper · pdf · doi:10.1103/physrevd.98.044026
published as Phys. Rev. D 98, 044026 (2018) · 8 pages, 3 figures, title changed, minor correction, references added, accepted for publication in Physical Review D
arxiv created 2018/08/09 · openalex publication_date 2018/08/15 · arxiv updated 2018/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We cut and paste two Ba\~nados-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.