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

  • Francesco Cremona
  • Francesca Pirotta
  • Livio PizzoccheroEmail author
Research Article


We consider the wormhole of Ellis, Bronnikov, Morris and Thorne, 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 González, Guzmán, Sarbach, Bronnikov, Fabris and Zhidenko.


Wormhole of Ellis Bronnikov Morris and Thorne Linear instability 

Mathematics Subject Classification

83C15 83C20 83C25 



This work was supported by: INdAM, Gruppo Nazionale per la Fisica Matematica; INFN; MIUR, PRIN 2010 Research Project “Geometric and analytic theory of Hamiltonian systems in finite and infinite dimensions.”; Università degli Studi di Milano. We acknowledge K.A. Bronnikov, J.A. González, F.S. Guzmán, R.A. Konoplya and O. Sarbach for encouragement, very useful exchange of views and bibliographical references. We also acknowledge the referee for a suggestion about the terminology that made the present work more clear.


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Francesco Cremona
    • 1
  • Francesca Pirotta
    • 1
  • Livio Pizzocchero
    • 1
    • 2
    Email author
  1. 1.Dipartimento di MatematicaUniversità di MilanoMilanItaly
  2. 2.Istituto Nazionale di Fisica NucleareSezione di MilanoMilanItaly

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