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A study of holographic dark energy models in Chern-Simon modified gravity. (English) Zbl 1373.83120

Summary: This paper is devoted to study some holographic dark energy models in the context of Chern-Simon modified gravity by considering FRW universe. We analyze the equation of state parameter using Granda and Oliveros infrared cut-off proposal which describes the accelerated expansion of the universe under the restrictions on the parameter \(\alpha\). It is shown that for the accelerated expansion phase \( -1<\omega _{\Lambda}<-\frac {1}{3}\), the parameter \(\alpha\) varies according as \(1<\alpha <\frac {3}{2}\). Furthermore, for \(0<\alpha <1\), the holographic energy and pressure density illustrates phantom-like theory of the evolution when \(\omega_{\Lambda}<-1\). Also, we discuss the correspondence between the quintessence, K-essence, tachyon and dilaton field models and holographic dark energy models on similar fashion. To discuss the accelerated expansion of the universe, we explore the potential and the dynamics of quintessence, K-essence, tachyon and dilaton field models.

MSC:

83F05 Relativistic cosmology
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
85A40 Astrophysical cosmology
83C15 Exact solutions to problems in general relativity and gravitational theory
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
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