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Journal of the Korean Physical Society

, Volume 73, Issue 12, pp 1800–1807 | Cite as

Gravitational Perturbation of Traversable Wormhole Spacetime and the Stability

  • YuRi Kang
  • Sung-Won KimEmail author
Article
  • 23 Downloads

Abstract

In this paper, we study the gravitational perturbation of traversable wormhole spacetime, especially the Morris-Thorne wormhole spacetime, by using the linearized theory of gravity. We restrict our interest to the first order term and ignore the higher order terms. We assume that the perturbation is axisymmetric. We also assume that the time dependence follows the Fourier decomposition and the angular dependence is expressed in terms of the Legendre functions. As a result, we derive the gravitational perturbation equation of traversable wormhole in terms of a single linear second-order differential equation. As a consequence, we could analyze the unstability of the spacetime with the effective potentials. Furthermore, we consider the interaction between the external gravitational perturbation and the exotic matter, constituting traversable wormholes and its effect on the stability of traversable wormholes.

Keywords

Gravitational perturbation Wormhole Stability 

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Copyright information

© The Korean Physical Society 2018

Authors and Affiliations

  1. 1.Department of Science EducationEwha Womans UniversitySeoulKorea

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