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arxiv 2507.06544 v1 pith:TNCYKEU4 submitted 2025-07-09 astro-ph.CO

Power Law Plateau Inflation and Primary Gravitational Waves in the light of ACT

classification astro-ph.CO
keywords reheatingtemperatureconstraintgravitationalinflationaryphasewavesbound
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate Power-Law Plateau (PLP) inflation in standard gravity and its consistency with ACT DR6 data. While many inflationary models, including the Starobinsky inflation, are disfavored by ACT observations, the PLP potential remains viable across a broad range of its parameters. Then, the dynamics of the reheating phase are investigated, where we mainly focus on the reheating temperature and its relationship with the inflationary phase and primordial gravitational waves. Incorporating the overproduction of the primordial gravitational waves can affect the effective number of relativistic species during the bounce. The constraint data on $\Delta N_{\rm eff}$ can impose a lower bound on the reheating temperature. This constraint will be more efficient for a stiff equation of state. It is determined that for $\omega_{re} > 0.58$, this constraint would be efficient. Combining the result of the reheating temperature and the inflationary phase, it is concluded that to have both a viable result standing in $1\sigma$ of ACT DR6 and also to satisfy the reheating lower bound, the total number of e-folds during the inflationary phase should be $N_k \lesssim 62$. Higher e-folds of expansion result in a reheating temperature below the bound, which is disfavored. Finally, for the constraint values of the reheating temperature, the energy spectrum of the gravitational waves has been explored. The results indicate that there is a higher chance of detection for lower reheating temperatures and higher reheating equation of state.

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Cited by 8 Pith papers

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

  1. ACT Data and Positive Running of the Spectral Index for Scalar Theory and Modified Gravity

    gr-qc 2026-05 unverdicted novelty 5.0

    Positive running of the spectral index is achievable in Einstein-Gauss-Bonnet gravity with viable inflation, unlike standard scalar field and F(R) models which face challenges.

  2. Curvaton-assisted hilltop inflation

    hep-ph 2025-12 unverdicted novelty 5.0

    Curvaton coupling relaxes initial tuning in hilltop inflation and revives the sub-Planckian quartic model while remaining consistent with cosmological observations.

  3. The implications of inflation for the last ACT

    astro-ph.CO 2025-10 unverdicted novelty 5.0

    A parameterized slow-roll model and a new exponential f(R) inflation model are constrained by P-ACT-LB-BK18 data, with the latter aligning to the ACT scalar spectral index preference in both standard and EDE frameworks.

  4. Starobinsky Inflation in k-Essence Framework: Attractor Dynamics, Reheating, and Consistency with ACT DR6

    gr-qc 2026-07 conditional novelty 4.0

    A power-law non-canonical kinetic coupling F(φ)=1+Aφ^n revives the Starobinsky inflation potential's consistency with ACT DR6 CMB data while preserving attractor dynamics and yielding viable reheating.

  5. Reconstructing ACT-compatible and GW170817-compatible Einstein-Gauss-Bonnet Inflation from the Observational Indices

    gr-qc 2026-05 unverdicted novelty 4.0

    Four Einstein-Gauss-Bonnet inflationary models are reconstructed from a chosen tensor-to-scalar ratio and shown to satisfy ACT and GW170817 constraints including scalar perturbation amplitude.

  6. String-inspired Gauss-Bonnet Gravity Inflation and ACT

    gr-qc 2026-04 unverdicted novelty 4.0

    MCMC analysis of sixteen ghost-free f(R,G) inflation models shows all reproduce ns ≈ 0.97 at 60 e-folds with stable μ ≈ 0.1, preference set by Hubble parametrization.

  7. Constraining Quintessential Inflation with ACT: A Gauss-Bonnet Gateway

    astro-ph.CO 2026-04 unverdicted novelty 4.0

    Einstein-Gauss-Bonnet corrections with exponential or sech couplings shift quintessential inflation into the 1 sigma ACT region for r and ns, while tanh coupling remains disfavored.

  8. Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6

    hep-ph 2026-02 unverdicted novelty 4.0

    A Palatini-inspired induced-gravity inflation model in supergravity fits ACT DR6 data while embedding into a B-L extended MSSM with split SUSY and leptogenesis.