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Inflation in Weyl-invariant Einstein-Cartan gravity

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arxiv 2410.16364 v2 pith:MJCSQ7F5 submitted 2024-10-21 gr-qc astro-ph.COhep-th

classification gr-qcastro-ph.COhep-th
keywords fieldcoupledeinstein-cartangravityinflationscalarvaluesweyl-invariant
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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 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Gravitational Origin of the QCD Axion

    hep-th 2025-06 accept novelty 7.0 of 10

    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.

  2. Weyl-invariant Einstein-Cartan gravity with a heavy ALP: Higgs Inflation and $\alpha$-attractors

    hep-ph 2025-07 conditional novelty 6.0 of 10

    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.

  3. The particle spectra of parity-violating theories: A less radical approach and an upgrade of PSALTer

    hep-th 2025-06 conditional novelty 6.0 of 10

    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.

  4. Atomic clocks and gravitational waves as probes of non-metricity

    gr-qc 2026-01 reject novelty 5.0 of 10

    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.

  5. Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models

    gr-qc 2025-12 conditional novelty 5.0 of 10

    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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