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.
On the Degrees of Freedom Count on Singular Phase Space Submanifolds
2 Pith papers cite this work. Polarity classification is still indexing.
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Vector modes in Type 3 New GR are non-dynamical; substituting constraints into the Lagrangian produces incorrect claims of dynamics.
citing papers explorer
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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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Vector modes in Type 3 New GR
Vector modes in Type 3 New GR are non-dynamical; substituting constraints into the Lagrangian produces incorrect claims of dynamics.