Observable gravitational waves from hyperkination in Palatini gravity and beyond

Abstract We consider cosmology with an inflaton scalar field with an additional quartic kinetic term. Such a theory can be motivated by Palatini $$R+R^2$$ R + R 2 modified gravity. Assuming a runaway inflaton potential, we take the Universe to become dominated by the kinetic energy density of the sc...

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Main Authors: Samuel Sánchez López, Konstantinos Dimopoulos, Alexandros Karam, Eemeli Tomberg
Format: Article
Language:English
Published: SpringerOpen 2023-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-12332-x
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author Samuel Sánchez López
Konstantinos Dimopoulos
Alexandros Karam
Eemeli Tomberg
author_facet Samuel Sánchez López
Konstantinos Dimopoulos
Alexandros Karam
Eemeli Tomberg
author_sort Samuel Sánchez López
collection DOAJ
description Abstract We consider cosmology with an inflaton scalar field with an additional quartic kinetic term. Such a theory can be motivated by Palatini $$R+R^2$$ R + R 2 modified gravity. Assuming a runaway inflaton potential, we take the Universe to become dominated by the kinetic energy density of the scalar field after inflation. Initially, the leading kinetic term is quartic and we call the corresponding period hyperkination. Subsequently, the usual quadratic kinetic term takes over and we have regular kination, until reheating. We study, both analytically and numerically, the spectrum of primordial gravitational waves generated during inflation and re-entering the horizon during the subsequent eras. We demonstrate that the spectrum is flat for modes re-entering during radiation domination and hyperkination and linear in frequency for modes re-entering during kination: kinetic domination boosts the spectrum, but hyperkination truncates its peak. As a result, the effects of the kinetic period can be extended to observable frequencies without generating excessive gravitational waves, which could otherwise destabilise the process of Big Bang Nucleosynthesis. We show that there is ample parameter space for the primordial gravitational waves to be observable in the near future. If observed, the amplitude and ‘knee’ of the spectrum will provide valuable insights into the background theory.
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spelling doaj.art-46597a6121594f329d107c97f099a5052024-03-31T11:31:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-12-01831212310.1140/epjc/s10052-023-12332-xObservable gravitational waves from hyperkination in Palatini gravity and beyondSamuel Sánchez López0Konstantinos Dimopoulos1Alexandros Karam2Eemeli Tomberg3Consortium for Fundamental Physics, Physics Department, Lancaster UniversityConsortium for Fundamental Physics, Physics Department, Lancaster UniversityLaboratory of High Energy and Computational Physics, National Institute of Chemical Physics and BiophysicsConsortium for Fundamental Physics, Physics Department, Lancaster UniversityAbstract We consider cosmology with an inflaton scalar field with an additional quartic kinetic term. Such a theory can be motivated by Palatini $$R+R^2$$ R + R 2 modified gravity. Assuming a runaway inflaton potential, we take the Universe to become dominated by the kinetic energy density of the scalar field after inflation. Initially, the leading kinetic term is quartic and we call the corresponding period hyperkination. Subsequently, the usual quadratic kinetic term takes over and we have regular kination, until reheating. We study, both analytically and numerically, the spectrum of primordial gravitational waves generated during inflation and re-entering the horizon during the subsequent eras. We demonstrate that the spectrum is flat for modes re-entering during radiation domination and hyperkination and linear in frequency for modes re-entering during kination: kinetic domination boosts the spectrum, but hyperkination truncates its peak. As a result, the effects of the kinetic period can be extended to observable frequencies without generating excessive gravitational waves, which could otherwise destabilise the process of Big Bang Nucleosynthesis. We show that there is ample parameter space for the primordial gravitational waves to be observable in the near future. If observed, the amplitude and ‘knee’ of the spectrum will provide valuable insights into the background theory.https://doi.org/10.1140/epjc/s10052-023-12332-x
spellingShingle Samuel Sánchez López
Konstantinos Dimopoulos
Alexandros Karam
Eemeli Tomberg
Observable gravitational waves from hyperkination in Palatini gravity and beyond
European Physical Journal C: Particles and Fields
title Observable gravitational waves from hyperkination in Palatini gravity and beyond
title_full Observable gravitational waves from hyperkination in Palatini gravity and beyond
title_fullStr Observable gravitational waves from hyperkination in Palatini gravity and beyond
title_full_unstemmed Observable gravitational waves from hyperkination in Palatini gravity and beyond
title_short Observable gravitational waves from hyperkination in Palatini gravity and beyond
title_sort observable gravitational waves from hyperkination in palatini gravity and beyond
url https://doi.org/10.1140/epjc/s10052-023-12332-x
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