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Some remarks on the dynamical systems approach to fourth order gravity

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Abstract

Building on earlier work, we discuss a general framework for exploring the cosmological dynamics of Higher Order Theories of Gravity. We show that once the theory of gravity has been specified, the cosmological equations can be written as a first-order autonomous system and we give several examples which illustrate the utility of our method. We also discuss a number of results which have appeared recently in the literature.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Cape Town, Cape Town, South Africa

    S. Carloni & P. K. S. Dunsby

  2. Dipartimento di Scienze Fisiche e Sez. INFN di Napoli, Universita’ di Napoli “Federico II”, Complesso Universitario di Monte S. Angelo, Via Cinthia, 80126, Napoli, Italy

    A. Troisi

  3. South African Astronomical Observatory, Observatory Cape Town, Cape Town, South Africa

    P. K. S. Dunsby

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  1. S. Carloni
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  2. A. Troisi
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  3. P. K. S. Dunsby
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Correspondence to S. Carloni.

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Carloni, S., Troisi, A. & Dunsby, P.K.S. Some remarks on the dynamical systems approach to fourth order gravity. Gen Relativ Gravit 41, 1757–1776 (2009). https://doi.org/10.1007/s10714-008-0747-9

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