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Gravitational waves in \(\mathbf {f(R)}\) gravity power law model

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Abstract

We investigate the different polarization modes of gravitational waves 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 depends highly on the background curvature and the power term n. However, we found that the model does not exhibit a massive scalar mode for \(n=2\) and instead, it shows a breathing mode in addition to the tensor plus and cross modes. Thus, mass of the scalar field is found to vary with n within the range \(1 \le n \le 2\).

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Acknowledgements

UDG is thankful to the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, for hospitality during his visits as a Visiting Associate.

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Authors and Affiliations

  1. Department of Physics, Dibrugarh University, Dibrugarh, Assam, 786004, India

    Dhruba Jyoti Gogoi & Umananda Dev Goswami

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  1. Dhruba Jyoti Gogoi
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  2. Umananda Dev Goswami
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Correspondence to Umananda Dev Goswami.

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Gogoi, D.J., Dev Goswami, U. Gravitational waves in \(\mathbf {f(R)}\) gravity power law model. Indian J Phys 96, 637–646 (2022). https://doi.org/10.1007/s12648-020-01998-8

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  • DOI: https://doi.org/10.1007/s12648-020-01998-8

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