Covariant theory of Bose-Einstein condensates in curved spacetimes with electromagnetic interactions: The hydrodynamic approach
Laboratoire de Physique Théorique, Université Paul Sabatier, 118 route de Narbonne, 31062, Toulouse, France
2 Departamento de Física, Centro de Investigación y Estudios Avanzados del IPN, A.P. 14-740, 07000, México D.F., Mexico
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Accepted: 10 December 2016
Published online: 23 January 2017
We develop a hydrodynamic representation of the Klein-Gordon-Maxwell-Einstein equations. These equations combine quantum mechanics, electromagnetism, and general relativity. We consider the case of an arbitrary curved spacetime, the case of weak gravitational fields in a static or expanding background, and the nonrelativistic (Newtonian) limit. The Klein-Gordon-Maxwell-Einstein equations govern the evolution of a complex scalar field, possibly describing self-gravitating Bose-Einstein condensates, coupled to an electromagnetic field. They may find applications in the context of dark matter, boson stars, and neutron stars with a superfluid core.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017