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26 April 2024
 
  » arxiv » 1111.5043

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Multi-fluid cosmology: An illustration of fundamental principles
G. L. Comer ; Patrick Peter ; N. Andersson ;
Date 21 Nov 2011
AbstractOur current understanding of the Universe is based on the interplay of several distinct "matter" components, which interact mainly through gravity, and electromagnetic radiation. The nature of the different components, and possible interactions, tends to be based on the notion of coupled perfect fluids (or scalar fields). This approach is somewhat naive, especially if one wants to be able to consider issues involving heat flow, dissipative mechanisms, or Bose-Einstein condensation of dark matter. We argue that a more natural starting point would be the multi-purpose variational relativistic multi-fluid system that has so far mainly been applied to neutron star astrophysics. As an illustration of the fundamental principles involved, we develop the formalism for determining the cosmological solutions to the Einstein equations for a general relativistic two-fluid model for (coupled) matter and radiation. The two fluids in the model are allowed to interpenetrate and exhibit a relative flow with respect to one another, implying, in general, an anisotropic Universe. We demonstrate that, when one fluid dominates over the other, one recovers the usual Friedmann-Lema^{i}tre-Robertson-Walker solution. We also show that the transition between one fluid domination and the other’s occurs during a Bianchi I epoch, possibly imprinting observable consequences at the specific scale corresponding to the transition time.
Source arXiv, 1111.5043
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