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High Energy Physics - Theory

arXiv:1805.02942 (hep-th)
[Submitted on 8 May 2018 (v1), last revised 13 Nov 2018 (this version, v3)]

Title:Dynamical system approach of non-minimal coupling in AdS/CFT cosmology

Authors:Aatifa Bargach, Farida Bargach, Taoufik Ouali
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Abstract:We study the dynamical system approach of non minimally coupled scalar field to induced gravity on the brane in the framework of the AdS/CFT correspondence. In this context, we derive the modified Friedmann equation and the equation of motion. The dynamics of this model are studied by rewriting the cosmological field equations in the form of a system of autonomous differential equations. In particular, the analysis is considered by investigating an exponential potential and a monomial form of the non minimal coupling function. We show that, for sufficient conditions, a past de Sitter attractor solution is obtained in the case of a minimal coupling, meanwhile a future de Sitter attractor solutions is obtained for a conformal coupling and for a non minimal coupling.
Comments: 14 pages, 18 figures, revised version, new references
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1805.02942 [hep-th]
  (or arXiv:1805.02942v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.02942
Journal reference: Nucl. Phys. B 940 (2019) 10
Related DOI: https://doi.org/10.1016/j.nuclphysb.2019.01.007

Submission history

From: Ouali Taoufik [view email]
[v1] Tue, 8 May 2018 10:57:02 UTC (375 KB)
[v2] Wed, 18 Jul 2018 14:02:51 UTC (374 KB)
[v3] Tue, 13 Nov 2018 15:20:07 UTC (376 KB)
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