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Bounce and cyclic cosmology in new gravitational scalar-tensor theories

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arxiv 1807.00346 v1 pith:BP6MQY5G submitted 2018-07-01 gr-qc astro-ph.COhep-th

Emmanuel N. Saridakis , Shreya Banerjee , R. Myrzakulov This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords bouncetheoriescyclicfactorfunctionsgivegravitationallagrangian
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We study the bounce and cyclicity realization in the framework of new gravitational scalar-tensor theories. In these theories the Lagrangian contains the Ricci scalar and its first and second derivatives, in a specific combination that makes them free of ghosts, and transformed into the Einstein frame they are proved to be a subclass of bi-scalar extensions of general relativity. We present analytical expressions for the bounce requirements, and we examine the necessary qualitative behavior of the involved functions that can give rise to a given scale factor. Having in mind these qualitative forms, we reverse the procedure and we construct suitable simple Lagrangian functions that can give rise to a bounce or cyclic scale factor.

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  1. A connection between Gravitational Scalar-Tensor theories and Generalized Hybrid theories

    gr-qc 2026-03 conditional novelty 6.0 of 10

    GST theories linear in □R are dynamically equivalent to generalized hybrid f(R,ℛ) models via a shared Einstein-frame bi-scalar representation that supplies an explicit reconstruction dictionary.

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