Stable massless scalar polarization of f(R) gravity

Abstract Polarization is a prominent feature of gravitational wave observations and can be used to distinguish between different modified gravity theories. Compared to General Relativity, f(R) gravity exhibits an additional polarization originating from a scalar field, which is a combination of the...

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Main Authors: Xin-Dong Du, Peng-Cheng Li
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14412-6
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author Xin-Dong Du
Peng-Cheng Li
author_facet Xin-Dong Du
Peng-Cheng Li
author_sort Xin-Dong Du
collection DOAJ
description Abstract Polarization is a prominent feature of gravitational wave observations and can be used to distinguish between different modified gravity theories. Compared to General Relativity, f(R) gravity exhibits an additional polarization originating from a scalar field, which is a combination of the longitudinal and breathing modes. When the scalar mass of f(R) is zero, the mixed mode will reduce to a pure breathing mode with the disappearance of the longitudinal mode. However, this reducing seems to be disallowed because a positive scalar mass is often required to maintain the stability of the cosmological perturbation. In fact, the massless scalar case can provide a stable perturbation, but more detailed constraints need to be considered. For the completeness of the polarization analysis, we explore the possibility that there are stable massless scalar polarizations in viable dark energy f(R) models. We find that the existence of stable massless scalar polarization depends on the structure of f(R) model and can be used to distinguish different models in f(R) gravity.
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spelling doaj-art-d7abce82cbba4ac5a41fa5f076d1fbb12025-06-29T11:15:49ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-06-0185611010.1140/epjc/s10052-025-14412-6Stable massless scalar polarization of f(R) gravityXin-Dong Du0Peng-Cheng Li1School of Physics and Optoelectronics, South China University of TechnologySchool of Physics and Optoelectronics, South China University of TechnologyAbstract Polarization is a prominent feature of gravitational wave observations and can be used to distinguish between different modified gravity theories. Compared to General Relativity, f(R) gravity exhibits an additional polarization originating from a scalar field, which is a combination of the longitudinal and breathing modes. When the scalar mass of f(R) is zero, the mixed mode will reduce to a pure breathing mode with the disappearance of the longitudinal mode. However, this reducing seems to be disallowed because a positive scalar mass is often required to maintain the stability of the cosmological perturbation. In fact, the massless scalar case can provide a stable perturbation, but more detailed constraints need to be considered. For the completeness of the polarization analysis, we explore the possibility that there are stable massless scalar polarizations in viable dark energy f(R) models. We find that the existence of stable massless scalar polarization depends on the structure of f(R) model and can be used to distinguish different models in f(R) gravity.https://doi.org/10.1140/epjc/s10052-025-14412-6
spellingShingle Xin-Dong Du
Peng-Cheng Li
Stable massless scalar polarization of f(R) gravity
European Physical Journal C: Particles and Fields
title Stable massless scalar polarization of f(R) gravity
title_full Stable massless scalar polarization of f(R) gravity
title_fullStr Stable massless scalar polarization of f(R) gravity
title_full_unstemmed Stable massless scalar polarization of f(R) gravity
title_short Stable massless scalar polarization of f(R) gravity
title_sort stable massless scalar polarization of f r gravity
url https://doi.org/10.1140/epjc/s10052-025-14412-6
work_keys_str_mv AT xindongdu stablemasslessscalarpolarizationoffrgravity
AT pengchengli stablemasslessscalarpolarizationoffrgravity