General relativistic, nonstandard model for the dark sector of the Universe

P.C. Stichel (Fakultät für Physik, Universität Bielefeld, 33501, Bielefeld, Germany) ; W.J. Zakrzewski (Department of Mathematical Sciences, University of Durham, DH1 3LE, Durham, UK)

We present a general relativistic version of the self-gravitating fluid model for the dark sector of the Universe (darkon fluid) introduced in Stichel and Zakrzewski (Phys Rev D 80:083513, 2009 ) and extended and reviewed in Stichel and Zakrzewski (Entropy 15:559, 2013 ). This model contains no free parameters in its Lagrangian. The resulting energy-momentum tensor is dustlike with a nontrivial energy flow. In an approximation valid at sub-Hubble scales we find that the present-day cosmic acceleration is not attributed to any kind of negative pressure but it is due to a dynamically determined negative energy density. This property turns out to be equivalent to a time-dependent spatial curvature. The obtained cosmological equations, at sub-Hubble scales, agree with those of the nonrelativistic model but they are given a new physical interpretation. Furthermore, we have derived the self-consistent equation to be satisfied by the nonrelativistic gravitational potential produced by a galactic halo in our model from a weak-field limit of a generalized Tolman–Oppenheimer–Volkoff equation.

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      "value": "We present a general relativistic version of the self-gravitating fluid model for the dark sector of the Universe (darkon fluid) introduced in Stichel and Zakrzewski (Phys Rev D 80:083513, 2009 ) and extended and reviewed in Stichel and Zakrzewski (Entropy 15:559, 2013 ). This model contains no free parameters in its Lagrangian. The resulting energy-momentum tensor is dustlike with a nontrivial energy flow. In an approximation valid at sub-Hubble scales we find that the present-day cosmic acceleration is not attributed to any kind of negative pressure but it is due to a dynamically determined negative energy density. This property turns out to be equivalent to a time-dependent spatial curvature. The obtained cosmological equations, at sub-Hubble scales, agree with those of the nonrelativistic model but they are given a new physical interpretation. Furthermore, we have derived the self-consistent equation to be satisfied by the nonrelativistic gravitational potential produced by a galactic halo in our model from a weak-field limit of a generalized Tolman\u2013Oppenheimer\u2013Volkoff equation."
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Published on:
14 January 2015
Publisher:
Springer/Società Italiana di Fisica
Published in:
European Physical Journal C (2015)
Issue 1
DOI:
https://doi.org/10.1140/epjc/s10052-014-3218-3
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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