On the linear instability of the Ellis–Bronnikov–Morris–Thorne wormhole
- 55 Downloads
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.
KeywordsWormhole of Ellis Bronnikov Morris and Thorne Linear instability
Mathematics Subject Classification83C15 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.
- 7.Visser, M.: Lorentzian Wormholes. From Einstein to Hawking. Springer, New York (1996)Google Scholar
- 8.González, J.A., Guzmán, F.S., Sarbach, O.: On the instability of static, spherically symmetric wormholes supported by a ghost scalar field. In: Guzman Murillo, F.S., Herrera-Aguilar, A., Nucamendi, U., Quiros, I. (Eds.) CP1083, Gravitation and Cosmology, Proceedings of the Third International Meeting, pp. 208-216. American Institute of Physics (2008)Google Scholar
- 16.Landau, L.D., Lifhsitz, E.M.: Course of Theoretical Physics, Vol. II: The Classical Theory of fields, Fourth English Edition. Pergamon Press, Oxford (1975)Google Scholar
- 18.Berezin, F.A., Shubin, M.A.: The Schrödinger Equation, Mathematics and its Applications (Soviet Series), vol. 66. Kluwer Academic Publishers, Dordrecht (1991)Google Scholar