Regular Article - Theoretical Physics
Stability analysis of circular orbits around a traversable wormhole with massless conformally coupled scalar field
Department of Physics, Gurukula Kangri (Deemed to be University), 249 404, Haridwar, Uttarakhand, India
2 Center for Space Research, North-West University, 2745, Mahikeng, South Africa
3 Department of Applied Science, Faculty of Engineering and Technology, Gurukula Kangri (Deemed to be University), 249 404, Haridwar, Uttarakhand, India
4 Astrophysics Research Centre, School of Mathematics, Statastics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
Accepted: 27 March 2022
Published online: 5 April 2022
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 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.
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