PIRSA:11020084 Scientific Series Strong Gravity

DOI10.48660/11020084

Series: Strong Gravity

Sarbach, O. (2011). On the instability of general relativistic wormholes . Perimeter Institute. https://pirsa.org/11020084

Sarbach, Olivier. On the instability of general relativistic wormholes . Perimeter Institute, Feb. 17, 2011, https://pirsa.org/11020084 

@misc{ pirsa_PIRSA:11020084,
  doi = {10.48660/11020084},
  url = {https://pirsa.org/11020084},
  author = {Sarbach, Olivier},
  keywords = {Strong Gravity},
  language = {en},
  title = {On the instability of general relativistic wormholes },
  publisher = {Perimeter Institute},
  year = {2011},
  month = {feb},
  note = {PIRSA:11020084 see, \url{https://pirsa.org}}
}

Abstract

Assuming exotic matter, several models representing static, spherically symmetric wormhole solutions of Einstein's field equations have been considered in the literature. We examine the dynamical stability of such wormholes in one of the simplest model, in which the matter is described by a massless ghost scalar field, and prove that all solutions are unstable with respect to linear fluctuations and possess precisely one unstable, exponentially in time growing mode. Numerical simulations of the nonlinear field equations suggest that these wormholes either expand or collapse and form a black hole. The stability problem for alternative models including electrically charged wormholes is also discussed.

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