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Cosmological Scenarios with Bounce and Genesis in Horndeski Theory and Beyond

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Abstract

This essay is a brief review of the recent studies of non-singular cosmological scenarios with bounce and Genesis and their stability in a subclass of scalar–tensor theories with higher derivatives—beyond Horndeski theories. We discuss the general results of stability analysis of the nonsingular cosmological solutions in beyond Horndeski theories, as well as other closely related topics: 1) the no-go theorem, which is valid in the general Horndeski theories but not in their extensions, 2) singularities in disformal transformations relating beyond Horndeski theories with general ones, 3) healthy behavior of the scalar sector in the unitary gauge despite divergencies of coefficients in the quadratic action for perturbations (“γ-crossing”). We describe several specific examples of bouncing cosmologies and models with Genesis epoch which have neither ghosts nor gradient instabilities among the linearized perturbations about the homogeneous isotropic background during entire evolution.

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Notes

  1. This reasoning does not apply to the case of the closed Universe, where the bounce is possible if the energy density and effective pressure grow slower than a–2 during contraction [15].

  2. We do not consider the special case of ghost condensate [66].

  3. Let us also mention the discussion in [67] of the solutions of [42].

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ACKNOWLEDGMENTS

The authors are grateful to R. Kolevatov and N. Sukhov for productive collaboration and to E. Babichev and A. Vikman for helpful discussions. This work has been supported by the Russian Science Foundation grant 19-12-00393.

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Authors and Affiliations

  1. Institute for Nuclear Research of the Russian Academy of Sciences, 117312, Moscow, Russia

    V. E. Volkova, S. A. Mironov & V. A. Rubakov

  2. Institute for Theoretical and Mathematical Physics, Moscow State University, 119991, Moscow, Russia

    S. A. Mironov

  3. Alikhanov Institute for Theoretical and Experimental Physics, 117218, Moscow, Russia

    S. A. Mironov

  4. Physics Faculty, Moscow State University, 119991, Moscow, Russia

    V. A. Rubakov

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  1. V. E. Volkova
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  2. S. A. Mironov
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  3. V. A. Rubakov
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Correspondence to V. E. Volkova, S. A. Mironov or V. A. Rubakov.

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Contribution for the JETP special issue in honor of I. M. Khalatnikov’s 100th anniversary

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Volkova, V.E., Mironov, S.A. & Rubakov, V.A. Cosmological Scenarios with Bounce and Genesis in Horndeski Theory and Beyond. J. Exp. Theor. Phys. 129, 553–565 (2019). https://doi.org/10.1134/S1063776119100236

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