https://doi.org/10.1140/epjc/s10052-014-3019-8
Regular Article - Theoretical Physics
Covariant holography of a tachyonic accelerating universe
1
Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 121, 28006 , Madrid, Spain
2
Institute of Cosmology and Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth , PO1 3FX, UK
* e-mail: a.rozas@iff.csic.es
Received:
15
May
2014
Accepted:
31
July
2014
Published online:
22
August
2014
We apply the holographic principle to a flat dark energy dominated Friedmann–Robertson–Walker spacetime filled with a tachyon scalar field with constant equation of state , both for
and
. By using a geometrical covariant procedure, which allows the construction of holographic hypersurfaces, we have obtained for each case the position of the preferred screen and have then compared these with those obtained by using the holographic dark energy model with the future event horizon as the infrared cutoff. In the phantom scenario, one of the two obtained holographic screens is placed on the big rip hypersurface, both for the covariant holographic formalism and the holographic phantom model. It is also analyzed whether the existence of these preferred screens allows a mathematically consistent formulation of fundamental theories based on the existence of an S-matrix at infinite distances.
© SIF and Springer-Verlag Berlin Heidelberg, 2014