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arxiv: gr-qc/0611122 · v1 · submitted 2006-11-23 · 🌀 gr-qc

A dynamical system approach to higher order gravity

Sante Carloni , Peter K. S. Dunsby This is my paper
classification 🌀 gr-qc
keywords approachdynamicalgravityhigherordersystemacquiredbrief
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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.

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

    gr-qc 2025-10 conditional novelty 7.0

    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.