For any function f of the Weyl scalar curvature, the theory is ghost- and tachyon-free exactly when f' > 0, the compensating scalar's kinetic coefficient ζ > 0, and the scalaron mass condition (54) holds.
de Sitter space and the equivalence between f(R) and scalar-tensor gravity
6 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
It is shown that, when f'' is non-vanishing, metric f(R) gravity is completely equivalent to a scalar-tensor theory (with zero Brans-Dicke parameter) with respect to perturbations of de Sitter space, contrary to previous expectations. Moreover, the stability conditions of de Sitter space with respect to homogeneous and inhomogeneous perturbations coincide in most scalar-tensor theories, as is the case in metric f(R) gravity.
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background 2representative citing papers
For the sixth-order gravity action (2.1), the exact FLRW de Sitter solution is unstable whenever 3γ1+γ2<0, while the second-order limit admits a stable de Sitter attractor.
In Einstein-Gauss-Bonnet inflation, the unconstrained GW170817-compatible models keep perturbations adiabatic, while the constrained class violates adiabaticity in the last few e-foldings.
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.
Einstein-Gauss-Bonnet inflation can yield positive spectral-index running with a viable era under ACT-like hints, while scalar-field and F(R) models largely cannot.
Four f(R,Lm,T) fluid models are fitted to CC+Pantheon+SH0ES data, but the assumed matter conservation contradicts the theory's field equations.
citing papers explorer
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Higher-curvature gravity in Weyl geometry: No-ghost and no-tachyon conditions
For any function f of the Weyl scalar curvature, the theory is ghost- and tachyon-free exactly when f' > 0, the compensating scalar's kinetic coefficient ζ > 0, and the scalaron mass condition (54) holds.
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Unstable de Sitter inflationary solution in sixth-order gravity
For the sixth-order gravity action (2.1), the exact FLRW de Sitter solution is unstable whenever 3γ1+γ2<0, while the second-order limit admits a stable de Sitter attractor.
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Adiabatic Perturbations in GW170817-Compatible Einstein-Gauss-Bonnet Inflation
In Einstein-Gauss-Bonnet inflation, the unconstrained GW170817-compatible models keep perturbations adiabatic, while the constrained class violates adiabaticity in the last few e-foldings.
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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.
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ACT Data and Positive Running of the Spectral Index for Scalar Theory and Modified Gravity
Einstein-Gauss-Bonnet inflation can yield positive spectral-index running with a viable era under ACT-like hints, while scalar-field and F(R) models largely cannot.
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Cosmological implications and causality in $f(R, L_{m}, T)$ gravity theory with observational constraints
Four f(R,Lm,T) fluid models are fitted to CC+Pantheon+SH0ES data, but the assumed matter conservation contradicts the theory's field equations.