English

On the linear instability of the Ellis-Bronnikov-Morris-Thorne wormhole

General Relativity and Quantum Cosmology 2019-01-23 v3 Mathematical Physics math.MP

Abstract

We consider the wormhole of Ellis, Bronnikov, Morris and Thorne (EBMT), arising from Einstein's equations in presence of a phantom scalar field. In this paper we propose a simplified derivation of the linear instability of this system, making comparisons with previous works on this subject (and generalizations) by Gonzalez, Guzman, Sarbach, Bronnikov, Fabris and Zhidenko.

Keywords

Cite

@article{arxiv.1805.02602,
  title  = {On the linear instability of the Ellis-Bronnikov-Morris-Thorne wormhole},
  author = {Francesco Cremona and Francesca Pirotta and Livio Pizzocchero},
  journal= {arXiv preprint arXiv:1805.02602},
  year   = {2019}
}

Comments

In comparison with version v2, some additional references have been added and commented. This is a pre-print of the article published in General Relativity and Gravitation. The published article is available online at https://doi.org/10.1007/s10714-019-2501-x