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Inflation in Weyl-invariant Einstein-Cartan gravity
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We consider Weyl-invariant quadratic Einstein-Cartan gravity coupled to a scalar field and study the inflationary behaviour of the coupled system of the scalar field and the pseudoscalar associated with the Holst invariant. We find that the model is characterized by effective single-field inflation occurring at small field values and analyze its predictions which are in comfortable agreement with existing observations for a range of parameter values.
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Cited by 12 Pith papers
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On the Gravitational Origin of the QCD Axion
Derivative-coupled gravitational axions cannot solve the strong CP problem; Weyl-invariant Einstein-Cartan gravity is identified as the only promising framework for a gravitational QCD axion.
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In a Weyl-invariant Einstein-Cartan gravity theory with the SM Higgs and a heavy gravitational ALP, tuning two nonminimal couplings reproduces metric Higgs inflation and α-attractor-like inflation with ns≈1−2/N and r≈12/N^2.
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The particle spectra of parity-violating theories: A less radical approach and an upgrade of PSALTer
The authors derive a simpler no-ghost condition based on a kinetic matrix and release a parity-violating upgrade of PSALTer, demonstrating it on Einstein-Cartan gravity with two scalar modes.
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Ephemeral Oscillons in Scalar-Tensor Theories: The Higgs-like case
In a Higgs-like Einstein-Cartan inflation model, oscillons formed after inflation are short-lived and their decay drives radiation domination within about four e-folds.
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Torsional pseudo-inflation beyond Einstein-Cartan
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The paper claims existing gravitational-wave data already bound Weyl non-metricity, α²ω̄0<10⁻⁶⁹ GeV, via backreaction of a Planck-scale Weyl field, but a dropped kinetic term numerically exceeds the assumed sensitivity.
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Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models
Adding cubic Holst-invariant terms to F(R,R̃) Einstein-Cartan inflation models systematically lowers the predicted spectral index n_s and tensor-to-scalar ratio r, restoring data compatibility in parameter regions whe...
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A Holst-invariant coupling to the inflaton makes symmetry-breaking inflation viable, including the previously unattainable sub-Planckian vacuum expectation value case.
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Weyl-connection gravity with a dynamical vector field produces an effective dark energy sector, recovering Lambda-CDM in one class and dynamical dark energy in others.
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$\tilde\xi$-attractors in metric-affine gravity
A new class of metric-affine inflationary models, the ξ-tilde-attractors, reproduces Starobinsky inflation as a universal attractor in two strong-coupling limits.
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Geometrical origin of inflation in Weyl-invariant Einstein-Cartan gravity
The scalar mode of Weyl-invariant Einstein-Cartan quadratic gravity yields the same inflationary potential as pseudoscalaron inflation and can fit CMB data for large parameter q.
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