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Dynamical study of DBI-essence in loop quantum cosmology and brane world

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Abstract

We have studied homogeneous isotropic FRW model having dynamical dark energy DBI-essence with scalar field. Existence of cosmological scaling solutions restricts the Lagrangian of the scalar field ϕ. Choosing p=Xg(Xe λϕ), where X=−g μν ∂ μ ϕ∂ ν ϕ/2 with g any function of Xe λϕ and defining some suitable transformations, we have constructed the dynamical system in different models of gravity: (i) Loop Quantum Cosmology (LQC), (ii) DGP brane world and (iii) RS II brane world. We have investigated stability of this dynamical system around the critical point for three gravity models and investigated the scalar-field dominated attractor solution in support of accelerated universe. The roles of the physical parameters have also been shown graphically during the accelerating phase of the universe.

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Acknowledgements

The authors are thankful to IUCAA, Pune, India for warm hospitality where part of the work was carried out. One of the authors (JB) is thankful to CSIR, Govt. of India for providing Junior Research Fellowship.

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Authors and Affiliations

  1. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711103, India

    Jhumpa Bhadra & Ujjal Debnath

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  1. Jhumpa Bhadra
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  2. Ujjal Debnath
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Correspondence to Ujjal Debnath.

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Bhadra, J., Debnath, U. Dynamical study of DBI-essence in loop quantum cosmology and brane world. Eur. Phys. J. C 72, 2087 (2012). https://doi.org/10.1140/epjc/s10052-012-2087-x

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