Testing the Starobinsky model of inflation with resonant cavities

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Main Authors: Mohanty, Subhendra, Panda, Sukanta, Vidyarthi, Archit
Format: Preprint
Published: 2025
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author Mohanty, Subhendra
Panda, Sukanta
Vidyarthi, Archit
author_facet Mohanty, Subhendra
Panda, Sukanta
Vidyarthi, Archit
contents We show that the Starobinsky inflation model based on $R^2$ gravity has a special feature that it provides a unique scalaron-two-graviton vertex with a coupling proportional to $1/M_P$. In this model stochastic gravitational waves are produced when the scalaron - which is the massive scalar mode of the metric - decays into gravitons during reheating. This decay is accompanied by decay of scalaron into matter as well through a similar coupling, providing an efficient reheating. The stochastic gravitational waves thus produced have characteristic strain $h_c\sim 10^{-35}-10^{-34}$ in the frequency range $10^{6}-10^{12}\, {\rm Hz}$ which makes them accessible to resonant cavity searches for graviton to photon conversions. The detection of these high frequency gravitational waves would be a significant step in experimentally testing the Starobinsky inflation model.
format Preprint
id arxiv_https___arxiv_org_abs_2503_06858
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Testing the Starobinsky model of inflation with resonant cavities
Mohanty, Subhendra
Panda, Sukanta
Vidyarthi, Archit
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
We show that the Starobinsky inflation model based on $R^2$ gravity has a special feature that it provides a unique scalaron-two-graviton vertex with a coupling proportional to $1/M_P$. In this model stochastic gravitational waves are produced when the scalaron - which is the massive scalar mode of the metric - decays into gravitons during reheating. This decay is accompanied by decay of scalaron into matter as well through a similar coupling, providing an efficient reheating. The stochastic gravitational waves thus produced have characteristic strain $h_c\sim 10^{-35}-10^{-34}$ in the frequency range $10^{6}-10^{12}\, {\rm Hz}$ which makes them accessible to resonant cavity searches for graviton to photon conversions. The detection of these high frequency gravitational waves would be a significant step in experimentally testing the Starobinsky inflation model.
title Testing the Starobinsky model of inflation with resonant cavities
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2503.06858