Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests

By Kazuharu Bamba, Salvatore Capozziello, Shin'ichi Nojiri, Sergei D. Odintsov. 2012

2,139 citations recorded by the source corpus.

We review different dark energy cosmologies. In particular, we present the ΛCDM cosmology, Little Rip and Pseudo-Rip universes, the phantom and quintessence cosmologies with Type I, II, III and IV finite-time future singularities and non-singular dark energy universes. In the first part, we explain the ΛCDM model and well-established observational tests which constrain the current cosmic acceleration. After that, we investigate the dark fluid universe where a fluid has quite general equation of state (EoS) [including inhomogeneous or imperfect EoS]. All the above dark energy cosmologies for different fluids are explicitly realized, and their properties are also explored. It is shown that all the above dark energy universes may mimic the ΛCDM model currently, consistent with the recent observational data. Furthermore, special attention is paid to the equivalence of different dark energy models. We consider single and multiple scalar field theories, tachyon scalar theory and holographic dark energy as models for current acceleration with the features of quintessence/phantom cosmology, and demonstrate their equivalence to the corresponding fluid descriptions. In the second part, we study another equivalent class of dark energy models which includes F(R) gravity as well as F(R) Hořava-Lifshitz gravity and the teleparallel f(T) gravity. The cosmology of such models representing the ΛCDM-like universe or the accelerating expansion with the quintessence/phantom nature is described. Finally, we approach the problem of testing dark energy and alternative gravity models to general relativity by cosmography. We show that degeneration among parameters can be removed by accurate data analysis of large data samples and also present the examples.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f7acd3c29db0e2361010da13ec10db51740f3001

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Citations in the corpus

Viscous Cosmology for Early- and Late-Time Universe (2017, background): “One can attribute these extra degrees of freedom to new, exotic forms of matter, such as the inflaton field at early times and/or the dark energy concept at late times (for reviews see [55, 56]).”
Inflationary Cosmology in Modified Gravity Theories (2015, methodology): “We first explain the conformal transformation from F (R) gravity in the Jordan frame to the corresponding scalar field theory in the Einstein frame [19,43].”
Effective field theory of dark energy: A review (2019, background): “Usually one refers to these proposals as modified gravity (MG) theories [5, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33].”
Holographic dark energy (2016, background): “Although favored by the observations, the ΛCDM model suffers from two cosmological constant problems [12, 13, 14, 15, 16, 17, 18, 19, 20].”