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arXiv · 1906.04360

(2+1)-dimensional Static Cyclic Symmetric Traversable Wormhole: Quasinormal Modes and Causality

Pedro Cañate·Nora Breton·Leonardo Ortiz
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Abstract

In this paper we study a static cyclic symmetric traversable wormhole in $(2+1)-$dimensional gravity coupled to nonlinear electrodynamics in anti-de Sitter spacetime. The solution is characterized by three parameters: mass $M$, cosmological constant $\Lambda$ and one electromagnetic parameter, $q_{\alpha}$. The causality of this spacetime is studied, determining its maximal extension and constructing then the corresponding Kruskal-Szekeres and Penrose diagrams. The quasinormal modes (QNMs) that result from considering a massive scalar test field in the wormhole background are determined by solving in exact form the Klein-Gordon equation; the effective potential resembles the one of a harmonic oscillator shifted from its equilibrium position and, consequently, the QNMs have a pure point spectrum.

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Pedro Cañate, Nora Breton, Leonardo Ortiz. 2019-06-11. (2+1)-dimensional Static Cyclic Symmetric Traversable Wormhole: Quasinormal Modes and Causality. https://doi.org/10.1088/1361-6382%2Fab6859

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