Generic spherically symmetric thin-shell wormholes with equilibrium throat at the innermost photonsphere are unstable

Abstract

In this research, we prove analytically that a generic spherically symmetric thin-shell wormhole (TSW) with its throat located at the innermost photonsphere of the bulk asymptotically flat black hole and supported by a generic surface barotropic perfect fluid is unstable against a radial linear perturbation. This is the generalization of the instability of the Schwarzschild TSW (STSW) with the throat's radius located at $a_0=3M$ that was revealed by Poisson and Visser in their seminal work \cite{Poisson1995} where they studied the mechanical stability of STSW. Our proof provides a link between the instability of the null circular geodesics on the innermost photonsphere of a generic static spherically symmetric asymptotically black hole and the TSW constructed in the same bulk with $a_0=r_c$ where and $r_c$ are the radius of the TSW and the innermost photonsphere, respectively. For asymptotically flat spherically symmetric black holes possessing more than one photonspheres, the number of the photonspheres is odd and at least one photonsphere is stable which implies the corresponding TSW with its throat identical with the stable photonsphere is also stable.

arXiv commentFinal version, 7 pages, no figures accepted for publication in EPJC

References in corpus (34)

• Traversable wormholes: Some simple examples
• Thin-shell wormholes: Linearization stability
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• The null energy condition in dynamic wormholes
• Linearized stability analysis of thin-shell wormholes with a cosmological constant
• Wormholes supported by hybrid metric-Palatini gravity
• Connection between black-hole quasinormal modes and lensing in the strong deflection limit
• Traversable wormholes from massless conformally coupled scalar fields
• Stability of Chaplygin gas thin-shell wormholes
• Stability of thin-shell wormholes with spherical symmetry
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Wormholes and nonsingular space-times in Palatini $f(R)$ gravity
• A note on linearized stability of Schwarzschild thin-shell wormholes with variable equations of state
• Upper bound on the radii of black-hole photonspheres
• Stability of thin-shell wormholes supported by ordinary matter in Einstein-Maxwell-Gauss-Bonnet gravity
• Mechanical Stability of Cylindrical Thin-Shell Wormholes
• Stability of generic cylindrical thin shell wormholes
• Spherical null geodesics of rotating Kerr black holes
• Exotica ex nihilo: Traversable wormholes & non-singular black holes from the vacuum of quadratic gravity
• Resonance spectrum of near-extremal Kerr black holes in the eikonal limit
• Near-Extreme Black Holes and the Universal Relaxation Bound
• Resonance and absorption spectra of the Schwarzschild black hole for massive scalar perturbations: a complex angular momentum analysis
• Wormholes in f(R) gravity with a noncommutative-geometry background
• General formalism for the stability of thin-shell wormholes in 2+1 dimensions
• Linear stability analysis of a rotating thin-shell wormhole
• Geodesic motion around traversable wormholes supported by a massless conformally-coupled scalar field
• Wormhole geometries in fourth-order conformal Weyl gravity
• Thin-Shell Wormhole Satisfying Energy Conditions
• The extreme orbital period in scalar hairy kerr black holes
• Counterrotational effects on stability of 2+1-dimensional thin-shell wormholes
• Dynamics of test particles in thin-shell wormhole spacetimes
• The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
• Conformal symmetry wormholes and the null energy condition
• Thin-shell Wormholes with Ordinary Matter in Pure Gauss-Bonnet Gravity