Linearized stability of Bardeen anti-de Sitter wormholes
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In this paper, we explore the stable and unstable geometrical structures of thin-shell wormholes. We use Visser cut and paste approach to develop thin-shell from Bardeen anti-de Sitter black holes. The characteristics of matter distribution are determined by using Israel formalism. We discuss the existence of exotic matter at the wormhole throat through energy conditions and examine the attractive/repulsive nature of wormhole throat. The linearized stability of thin-shell is studied through barotropic and variable equations of state (generalized phantomlike and generalized Chaplygin gas model). We conclude that the stability of wormhole depends on the matter distribution as well as cosmological constant. Finally, we compare the stable structure of wormhole for these equations of state through length parameter.
KeywordsWormhole Regular black hole Israel formalism
One of us (FJ) would like to thank the Higher Education Commission, Islamabad, for its financial support through 6748/Punjab/NRPU/RD/HEC/2016.
Conflict of interest
The authors declare that there is no conflict of interest.