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A dynamical system approach to higher order gravity
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A dynamical system approach to higher order gravity
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The dynamical system approach has recently acquired great importance in the investigation on higher order theories of gravity. In this talk I review the main results and I give brief comments on the perspectives for further developments.
Forward citations
Cited by 3 Pith papers
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Spectrum of pure $R^2$ gravity: full Hamiltonian analysis
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.
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On phase-space singular surfaces in $f(R)$ gravity
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.
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Constraining Scale-Dependent Growth in $f(R)$ Gravity with Future 21 cm Surveys
Forecasts show that future 21 cm surveys can deliver moderate constraints on the scale-dependent growth index and HI bias in viable f(R) models.
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