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.
Aspects of non-minimally coupled c urvature with power laws
3 Pith papers cite this work. Polarity classification is still indexing.
fields
gr-qc 3representative 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.
citing papers explorer
-
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.
-
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.
-
New interpretation of the Minkowski limit of $R^2$ gravity
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.