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Higgs inflation and teleparallel gravity

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arxiv 1910.03488 v2 pith:BQFL7NUU submitted 2019-10-08 gr-qc astro-ph.CO

Sami Raatikainen , Syksy Rasanen This is my paper · ORCID
classification gr-qcastro-ph.CO
keywords gravityhiggsinflationscalarteleparallelcoupledfieldgive
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abstract

Teleparallel gravity is a formulation of general relativity that is physically equivalent to metric gravity if the gravitational action has the Einstein-Hilbert form and matter is minimally coupled. However, scalar fields generally couple directly to the connection, breaking the equivalence. In particular, this happens for the Standard Model Higgs. We show that a teleparallel theory with a non-minimally coupled scalar field has no linear scalar perturbations, and therefore cannot give successful inflation, unless the non-minimal coupling functions satisfy a particular relation. If the relation is satisfied, Higgs inflation can give an arbitrarily large tensor-to-scalar ratio $r$. Our results also apply to $f(T)$ theories, as they are scalar-tensor theories written in different field coordinates. We discuss generalisation to more complicated actions.

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Cited by 3 Pith papers

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

  1. Kinetic Gauge Friction in Natural Inflation

    astro-ph.CO 2024-11 conditional novelty 7.0 of 10

    Kinetic gauge friction can sustain natural inflation with sub-Planckian f, and a Chern-Simons term stabilizes the perturbations, yielding CMB-compatible spectra.

  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. Higgs-like inflation in scalar-torsion $f(T,\phi)$ gravity in light of ACT-SPT-DESI constraints

    gr-qc 2025-12 conditional novelty 5.0 of 10

    Higgs-like inflation in f(T,φ) torsion gravity can accommodate the ACT/DESI upward shift in the scalar spectral index while predicting a tensor-to-scalar ratio r≈0.01–0.04.

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