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Some remarks on the dynamical systems approach to fourth order gravity

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arxiv 0706.0452 v2 pith:NBW4I3NT submitted 2007-06-04 gr-qc astro-phhep-th

classification gr-qcastro-phhep-th
keywords gravitycosmologicaldiscussorderappearedapproachautonomousbeen
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spectrum of pure $R^2$ gravity: full Hamiltonian analysis

    gr-qc 2025-10 conditional novelty 7.0 of 10

    Pure R^2 gravity propagates three degrees of freedom nonlinearly but zero linearly around Minkowski and other traceless-Ricci R=0 spacetimes due to ten second-class constraints becoming first-class upon linearization.

  2. On phase-space singular surfaces in $f(R)$ gravity

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    Hamiltonian analysis reveals degenerate constraints on singular surfaces in f(R) gravity, leading to empty spectra on certain backgrounds and regularity conditions for dynamical crossings in Starobinsky model.

  3. Initial conditions for Starobinsky inflation in general quadratic gravity

    gr-qc 2025-05 conditional novelty 6.0 of 10

    In general quadratic gravity with alpha = -10 beta, Starobinsky inflation remains reachable from a nonzero band of initial conditions, though the basin shifts from expanding to contracting starts as shear increases.

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