Covariant theory of Bose-Einstein condensates in curved spacetimes with electromagnetic interactions: the hydrodynamic approach

Jun 22, 2016
48 pages
Published in:
  • Eur.Phys.J.Plus 132 (2017) 1, 30
  • Published: Jan 23, 2017
e-Print:

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Abstract: (arXiv)
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.
  • condensation: Bose-Einstein
  • boson: star
  • hydrodynamics
  • space-time
  • electromagnetic interaction
  • electromagnetic field
  • general relativity
  • quantum mechanics
  • nonrelativistic
  • neutron star