Abstract
Recently, few cosmological models with additional non-Riemannian volume form(s) have been proposed. In this article we use Supernovae type Ia experimental data to test one of these models which provides a unified description of both dark energy via dynamically generated cosmological constant and dark matter as a “dust” fluid due to a hidden nonlinear Noether symmetry. It turns out that the model allows various scenarios of the future Universe evolution and in the same time perfectly fits contemporary observational data. Further, we investigate the influence of an additional inflaton field with a step like potential. With its help we can reproduce the Universe inflation epoch, matter dominated epoch and present accelerating expansion in a seamless way. Interesting feature is that inflaton undergoes a finite change during its evolution. It can be speculated that the inflaton asymptotic value is connected to the vacuum expectation value of the Higgs field.
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Notes
- 1.
\(d_m=5 \log _{10}\left( \frac{d}{10}\right) \), where d is the distance in parsecs.
- 2.
The plots are for parameters \(M_0 = -0.01, M_1 = 0.1, M_2 = 4, \alpha = 0.7, b_0 = 1\times 10^{-5}, p_u = 0.15, \chi _2 = 3.3\times 10^{-4}, f_1 = 3\times 10^{-5}, f_2 = 1\times 10^{-8}\), integrated for \(t=0.4\).
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Acknowledgements
It is a pleasure to thank E. Nissimov and S. Pacheva for discussions.The work is supported by BAS contract DFNP – 49/21.04.2016, by Bulgarian NSF grant DN-18/1/10.12.2017 and by Bulgarian NSF Grant 08-17.
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Staicova, D., Stoilov, M. (2018). Cosmological Solutions from Models with Unified Dark Energy and Dark Matter and with Inflaton Field. In: Dobrev, V. (eds) Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2. LT-XII/QTS-X 2017. Springer Proceedings in Mathematics & Statistics, vol 255. Springer, Singapore. https://doi.org/10.1007/978-981-13-2179-5_19
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