Stable flat solutions in scale-invariant scalar-tensor theories carry a non-vanishing cosmological constant unless the quartic coupling vanishes, and this vanishing is not radiatively protected, making a residual CC generic.
Inflation and reheating in theories with spontaneous scale invariance symmetry breaking
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abstract
We study a scale-invariant model of quadratic gravity with a non-minimally coupled scalar field. We focus on cosmological solutions and find that scale invariance is spontaneously broken and a mass scale naturally emerges. Before the symmetry breaking, the Universe undergoes an inflationary expansion with nearly the same observational predictions of Starobinsky's model. At the end of inflation, the Hubble parameter and the scalar field converge to a stable fixed point through damped oscillations and the usual Einstein-Hilbert action is recovered. The oscillations around the fixed point can reheat the Universe in various ways and we study in detail some of these possibilities.
fields
gr-qc 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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
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The unavoidable de Sitter fate of a scale-invariant Universe
Stable flat solutions in scale-invariant scalar-tensor theories carry a non-vanishing cosmological constant unless the quartic coupling vanishes, and this vanishing is not radiatively protected, making a residual CC generic.
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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.