Pith. sign in

REVIEW 5 cited by

Scale independent $R^2$ inflation

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1906.03415 v3 pith:7U32HAWU submitted 2019-06-08 gr-qc astro-ph.COhep-phhep-th

Pedro G. Ferreira , Christopher T. Hill , Johannes Noller , Graham G. Ross This is my paper · ORCID
classification gr-qcastro-ph.COhep-phhep-th
keywords scalegravityinflationinvariantalmostbackgroundchoiceconstant
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

Weyl (scale) invariant theories of scalars and gravity can generate all mass scales spontaneously. In this paper we study a particularly simple version -- scale invariant $R^2$ gravity -- and show that, during an inflationary period, it leads to fluctuations which, for a particular parameter choice, are almost indistinguishable from normal $R^2$ inflation. Current observations place tight constraints on the primary coupling constant of this theory and predict a tensor to scalar ratio, $0.0033 > r > 0.0026$, which is testable with the next generation of cosmic microwave background experiments.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

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

  1. World-Line Actions in Weyl Geometry

    hep-th 2026-07 accept novelty 6.0 of 10

    A dimensionless Weyl-invariant additive world-line action exists for time-like particles in Weyl geometry, but proper time cannot be defined until scale symmetry breaks.

  2. Weyl gauge symmetry at LIGO-Virgo-KAGRA

    gr-qc 2026-07 conditional novelty 6.0 of 10

    In Weyl quadratic gravity linearized around de Sitter space, gravitational waves carry two tensor modes plus two transverse vector modes from the Weyl gauge field, with no scalar modes.

  3. Conformal geometry as a gauge theory of gravity: covariant equations of motion & conservation laws

    hep-th 2024-12 conditional novelty 6.0 of 10

    The most general Weyl-quadratic-gravity action yields manifestly gauge-covariant equations of motion, with energy-momentum and Weyl-current conservation holding in both the Weyl and Riemannian pictures.

  4. The Goldstone Awakens: Unimodular dark energy in scale-invariant $R^2$ gravity

    astro-ph.CO 2026-07 conditional novelty 5.0 of 10

    In a scale-invariant R² + unimodular-gravity model, the Goldstone boson of scale symmetry becomes thawing dark energy, with its equation of state fixed by the same coupling that sets the inflationary spectral tilt.

  5. The fall and the rise of Weyl gauge theory

    gr-qc 2026-04 unverdicted novelty 5.0 of 10

    Weyl quadratic gauge gravity is anomaly-free, breaks via Stueckelberg to Einstein-Hilbert plus positive Lambda, and is the leading order of a regulator-free WDBI action that can include the SM.

Pith tools