Stability analysis of circular orbits around a traversable wormhole with massless conformally coupled scalar field
arXiv:2204.10988 · doi:10.1140/epjc/s10052-022-10274-4
Abstract
We study the stability of circular orbits in the background of a traversable wormhole (TWH) spacetime obtained as a solution of Einstein's field equations coupled conformally to a massless scalar field. The Lyapunov stability approach is employed to determine the stability of circular orbits (timelike and null) of non-spinning test particles around a TWH spacetime. In the case of timelike geodesics, the particle is confined to move in four different types of effective potentials depending on various values of the angular momentum L with both centrifugal and gravitational part. The effective potential for null geodesics consists of only a centrifugal part. Further, we characterize each fixed point according to its Lyapunov stability, and thus classify the circular orbits at the fixed point into stable center and unstable saddle points by depicting the corresponding phase-portraits.
References in corpus (25)
- Wormhole geometries in f(R) modified theories of gravity
- Modified-gravity wormholes without exotic matter
- Does backreaction enforce the averaged null energy condition in semiclassical gravity?
- Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
- Natural Wormholes as Gravitational Lenses
- On the exact gravitational lens equation in spherically symmetric and static spacetimes
- Wormholes as Black Hole Foils
- Echoes of Kerr-like wormholes
- The Shadow of a Rotating Traversable Wormhole
- Thin accretion disks in stationary axisymmetric wormhole spacetimes
- Gravitational lensing of wormholes in the galactic halo region
- Wormhole Shadows
- Warp drive basics
- Shadows of rotating wormholes
- Traversable wormholes from massless conformally coupled scalar fields
- Janis-Newman-Winicour and Wyman solutions are the same
- Electromagnetic signatures of thin accretion disks in wormhole geometries
- Microlensing by natural wormholes: theory and simulations
- Broad K iron line from accretion disks around traversable wormholes
- Rotating Ellis Wormholes in Four Dimensions
- Wormhole geometries with conformal motions
- Geometry of Spinning Ellis Wormholes
- Jacobi stability of the vacuum in the static spherically symmetric brane world models
- Nonlinear stability analysis of the Emden-Fowler equation
- Geodesic motion around traversable wormholes supported by a massless conformally-coupled scalar field