Gravitational Waves in $F(R)$ Gravity: Scalar Waves and the Chameleon Mechanism

Salvatore Capozziello; Taishi Ikeda; Taishi Katsuragawa; Tomohiro Nakamura

Gravitational Waves in F(R) Gravity: Scalar Waves and the Chameleon Mechanism

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arxiv 1902.02494 v3 pith:FKYQUNA6 submitted 2019-02-07 gr-qc astro-ph.COhep-th

Gravitational Waves in F(R) Gravity: Scalar Waves and the Chameleon Mechanism

Taishi Katsuragawa , Tomohiro Nakamura , Taishi Ikeda , Salvatore Capozziello This is my paper

classification gr-qc astro-ph.COhep-th

keywords gravitationalwavesscalarchameleonmechanismdiscussgravitywave

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We discuss the scalar mode of gravitational waves emerging in the context of $F(R)$ gravity by taking into account the chameleon mechanism. Assuming a toy model with a specific matter distribution to reproduce the environment of detection experiment by a ground-based gravitational wave observatory, we find that chameleon mechanism remarkably suppresses the scalar wave in the atmosphere of Earth, compared with the tensor modes of the gravitational waves. We also discuss the possibility to detect and constrain scalar waves by the current gravitational observatories and advocate a necessity of the future space-based observations.

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