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Related papers: Propagating degrees of freedom in f(R) gravity

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Many studies have been carried out in the literature to evaluate the number of polarization modes of gravitational waves in modified theories, in particular in $f(R)$ theories. In the latter ones, besides the usual two transverse-traceless…

General Relativity and Quantum Cosmology · Physics 2018-07-26 H. Rizwana Kausar , Lionel Philippoz , Philippe Jetzer

We have taken a modified version of the Einstein Hilbert action, $ f(R, T^\phi) $ gravity under consideration, where $T^\phi$ is the energy-momentum tensor trace for the scalar field under consideration. The structural behaviour of the…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Sourav Roy Chowdhury , Maxim Khlopov

We explore the gravitational waves (GWs) within the framework of the $f(R)$ gravity model represented by $f(R)=R^{1+\delta}/R^\delta_c$ in the weak field approximation. In this scenario, gravitational waves exhibit an additional…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Utkal Keshari Dash , Bal Krishna Yadav , Murli Manohar Verma

We develop a fully gauge invariant analysis of gravitational wave polarizations in metric f(R) gravity with a particular focus on the modified Starobinsky model, whose constant curvature solution provides a natural deSitter background for…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Ramesh Radhakrishnan , David McNutt , Delaram Mirfendereski , Alejandro Pinero , Eric Davis , William Julius , Gerald Cleaver

In this paper, we have introduced a new $f(R)$ gravity model as an attempt to have a model with more parametric control, so that the model can be used to explain the existing problems as well as to explore new directions in physics of…

General Relativity and Quantum Cosmology · Physics 2020-12-03 Dhruba Jyoti Gogoi , Umananda Dev Goswami

We explore the possibility of further gravitational wave modes in $F(T)$ gravity, where $T$ is the torsion scalar in teleparallelism. It is explicitly demonstrated that gravitational wave modes in $F(T)$ gravity are equivalent to those in…

General Relativity and Quantum Cosmology · Physics 2013-11-14 Kazuharu Bamba , Salvatore Capozziello , Mariafelicia De Laurentis , Shin'ichi Nojiri , Diego Sáez-Gómez

In this work we analyze the propagation properties of gravitational waves in the hybrid metric-Palatini gravity theory. We introduce the scalar-tensor representation of the theory to make explicit the scalar degrees of freedom of the theory…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Cláudio Gomes , João Luís Rosa , Miguel A. S. Pinto

We investigate the polarization modes of gravitational waves in $f(Q)$ non-metric gravity without gauge fixing. The main result of this study is that no further scalar mode appears more than the two standard plus and cross transverse…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Salvatore Capozziello , Maurizio Capriolo

We analyze the gravitational waves propagation in metric $f(R)$ theories of gravity. In particular, adopting a gauge invariant formalism we clearly determine the exact propagating degrees of freedom. Then, investigating their effects on…

General Relativity and Quantum Cosmology · Physics 2019-10-11 Fabio Moretti , Flavio Bombacigno , Giovanni Montani

We point out that there are only three polarizations for gravitational waves in $f(R)$ gravity, and the polarization due to the massive scalar mode is a mix of the pure longitudinal and transverse breathing polarization. The classification…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Dicong Liang , Yungui Gong , Shaoqi Hou , Yunqi Liu

There is a host of alternative theories of gravitation in the literature, among them the $f(R,T)$ recently elaborated by Harko and collaborators. In these theories the $R$ and $T$ are respectively the Ricci scalar and the trace of the…

General Relativity and Quantum Cosmology · Physics 2016-07-27 M. E. S. Alves , P. H. R. S. Moraes , J. C. N. de Araujo , M. Malheiro

The question of the correspondence between the number of degrees of freedom and the number of polarization states in hybrid metric-Palatini f(R)-gravity is considered. It is shown that the scalar transverse breathing and longitudinal modes…

General Relativity and Quantum Cosmology · Physics 2022-11-08 P. I. Dyadina

In this paper, we study polarization modes of gravitational waves in generalized Proca theory in the homogeneous and isotropic Minkowski background. The results show that the polarizations of gravitational waves depend on the parameter…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Yu-Qi Dong , Yu-Qiang Liu , Yu-Xiao Liu

We derive the gravitational waves for $f\left(T, B\right)$ gravity, an extension of teleparallel gravity containing the torsion scalar $T$ and the boundary term $B$, and demonstrate that it is equivalent to $f(R)$ gravity. Gravitational…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Salvatore Capozziello , Maurizio Capriolo , Loredana Caso

We investigate gravitational waves generated in $f(Q,B)$ non-metric gravity, i.e., a theory of gravity described by a non-metric compatible connection, free of torsion and curvature. It is an extension of symmetric teleparallel gravity,…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Salvatore Capozziello , Maurizio Capriolo , Gaetano Lambiase

We investigate the different polarization modes of Gravitational Waves (GWs) in $f(R)$ gravity power law model in de Sitter space. It is seen that the massive scalar field polarization mode exists in this model. The mass of the scalar field…

General Relativity and Quantum Cosmology · Physics 2022-03-17 Dhruba Jyoti Gogoi , Umananda Dev Goswami

We investigate propagation of gravitational waves in the most general teleparallel gravity model with second order field equations around the Minkowski background. We argue that in this case the most general Lagrangian at the first order of…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Manuel Hohmann , Martin Krššák , Christian Pfeifer , Ulbossyn Ualikhanova

We investigate the gravitational wave polarization modes and stability in Weyl geometry gravity within a Minkowski background. Our results indicate that the tensor sector consists of two standard modes propagating at the speed of light.…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Yu-Zhi Fan , Xiao-Bin Lai , Yu-Qi Dong , Yu-Xiao Liu

General relativity predicts the existence of only two tensorial gravitational wave polarizations, while a generic metric theories of gravity can possess up to four additional polarizations, including two vector and two scalar ones. These…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Shaoqi Hou , Xi-Long Fan , Tao Zhu , Zong-Hong Zhu

We formally discuss the post-Minkowskian limit of $f(R)$-gravity without adopting conformal transformations but developing all the calculations in the original Jordan frame. It is shown that such an approach gives rise, in general, together…

General Relativity and Quantum Cosmology · Physics 2014-11-20 S. Capozziello , A. Stabile , A. Troisi
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