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

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 (timeli...

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Bibliographic Details
Main Authors: Giri, S. (Author), Joshi, L.K (Author), Maharaj, S.D (Author), Nandan, H. (Author)
Format: Article
Language:English
Published: Springer Science and Business Media Deutschland GmbH 2022
Online Access:View Fulltext in Publisher
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020 |a 14346044 (ISSN) 
245 1 0 |a Stability analysis of circular orbits around a traversable wormhole with massless conformally coupled scalar field 
260 0 |b Springer Science and Business Media Deutschland GmbH  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1140/epjc/s10052-022-10274-4 
520 3 |a 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. © 2022, The Author(s). 
700 1 0 |a Giri, S.  |e author 
700 1 0 |a Joshi, L.K.  |e author 
700 1 0 |a Maharaj, S.D.  |e author 
700 1 0 |a Nandan, H.  |e author 
773 |t European Physical Journal C