Pith. sign in

REVIEW 3 cited by

Consistency relation for $R^p$ 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 1411.2972 v2 pith:J2Y7SESY submitted 2014-11-11 astro-ph.CO gr-qchep-phhep-th

Hayato Motohashi This is my paper · ORCID
classification astro-ph.COgr-qchep-phhep-th
keywords inflationconsistencydeviationindexrelationscalarspectralallowing
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We consider $R^p$ inflation with $p \approx 2$, allowing small deviation from $R^2$ inflation. Using the inflaton potential in the Einstein frame, we construct a consistency relation between the scalar spectral index, the tensor-to-scalar ratio, as well as the running of the scalar spectral index, which will be useful to constrain a deviation from $R^2$ inflation in future observations.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

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

  1. Bayesian analysis of $\alpha$-Starobinsky model with Planck, ACT and DESI data

    astro-ph.CO 2026-03 conditional novelty 5.0 of 10

    With Planck+ACT+DESI, pure Starobinsky requires N*>60 while free α shows a 1σ preference for log10 α>0; ACT lensing adds little to the primordial constraints.

  2. Primordial black holes formation in inflationary $F(R)$ models with scalar fields

    gr-qc 2025-09 unverdicted novelty 5.0 of 10

    Authors add induced gravity and a polynomial potential to an F(R) model, transform to a two-field chiral cosmology, and find parameter choices that match ACT inflation data while yielding PBH masses compatible with da...

  3. Exploring generalized Starobinsky Model of Inflation: Observational Constraints

    astro-ph.CO 2025-02 conditional novelty 3.0 of 10

    The power-law Starobinsky model is constrained to beta = 1.987 +0.013/-0.016 and log10 M = -4.72 +0.21/-0.20 at 95% CL, consistent with the standard R^2 model within 95% confidence.

Pith tools