Fractional action cosmology with an effective \(\wedge\) -term

  • Authors

    • Victor Shchigolev Department of Theoretical Physics, Ulyanovsk State University
    2016-01-23
    https://doi.org/10.14419/ijaa.v4i1.5680
  • Cosmological Models, Effective Cosmological Term, Exact Solutions, Fractional Einstein-Hilbert Action.

  • Abstract

    We continue studying the cosmological models derived from the fractional variational principle applied to the gravitational sector of the action functional. Within the frame of these models, the effective cosmological term could arise as a result of the non-zero Hubble parameter. At the same time, the continuity equation for the matter remains unchanged in its standard form. In this work, we are going to obtain some exact solutions for our model originating from the several kinematic assumptions. At that, we find the main cosmography parameters of the model and the corresponding equations of state of matter that fills the universe se. First, we proceed from an initially given law of evolution of the universe in some standard scenarios. Then, several exact solutions are obtained from the proposed earlier evolutionary laws for the effective cosmological term.

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  • How to Cite

    Shchigolev, V. (2016). Fractional action cosmology with an effective \(\wedge\) -term. International Journal of Advanced Astronomy, 4(1), 5-10. https://doi.org/10.14419/ijaa.v4i1.5680

    Received date: 2015-12-22

    Accepted date: 2016-01-18

    Published date: 2016-01-23