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arXiv 1906.04360gr-qc
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(2+1)维静态循环对称可穿越虫洞:拟正规模和因果性

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

Pedro Cañate, Nora Breton, Leonardo Ortiz

摘要:

本文研究了反德西特时空中$(2+1)-$维引力与非线性电动力学耦合的静态循环对称可穿越虫洞。该解的特征在于三个参数:质量$M$,宇宙学常数$Λ$和一个电磁参数,$q_α$。这个时空的因果关系进行了研究,确定其最大的扩展,然后构建相应的Kruskal-Szekeres和彭罗斯图。在虫洞背景中考虑大量标量测试场而产生的准正规模(QNM)是通过精确求解克莱因-戈登方程来确定的;有效势类似于从平衡位置移动的谐振子的势,因此,QNM具有纯点谱。

英文摘要:

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 $Λ$ and one electromagnetic parameter, $q_α$. 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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