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.
The phase space view of f(R) gravity
5 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We study the geometry of the phase space of spatially flat Friedmann-Lemaitre-Robertson-Walker models in f(R) gravity, for a general form of the function f(R). The equilibrium points (de Sitter spaces) and their stability are discussed, and a comparison is made with the phase space of the equivalent scalar-tensor theory. New effective Lagrangians and Hamiltonians are also presented.
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gr-qc 5representative citing papers
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.
The Minkowski limit of pure R² gravity is reinterpreted as a thermal singularity via scalar-tensor to Eckart fluid analogy, showing infinite departure from GR rather than recovery.
Dynamical systems analysis of a Palatini k-essence model identifies fixed points for quasi-de-Sitter epochs, scaling solutions, and quintessence phases connected by heteroclinic orbits in flat FLRW cosmology.
Dynamical systems analysis shows loop quantum cosmology removes stable attractors in interacting dark energy-dark matter models that exist under classical gravity.
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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.