Stability analysis of circular orbits around a traversable wormhole with massless conformally coupled scalar field

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 (11)

• Wormhole geometries in f(R) modified theories of gravity
• Modified-gravity wormholes without exotic matter
• Wormholes as Black Hole Foils
• Thin accretion disks in stationary axisymmetric wormhole spacetimes
• Warp drive basics
• Electromagnetic signatures of thin accretion disks in wormhole geometries
• Broad K$\alpha$ 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