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arXiv · 2211.12056

Constraining Palatini-Horndeski theory with gravitational waves after GW170817

Yu-Qi Dong·Yu-Qiang Liu·Yu-Xiao Liu
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Abstract

In this paper, we investigate the possible parameter space of Palatini-Horndeski theory with gravitational waves in a spatially flat Universe. We find that if the theory satisfies the following condition: in any spatially flat cosmological background, the tensor gravitational wave speed is the speed of light $c$, then only $S = \int d^4x \sqrt{-g} \big[K(\phi,X)-G_{3}(\phi,X){\tilde{\Box}}\phi+G_{4}(\phi)\tilde{R}\big]$ is left as the possible action in Palatini-Horndeski theory.

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Yu-Qi Dong, Yu-Qiang Liu, Yu-Xiao Liu. 2022-11-22. Constraining Palatini-Horndeski theory with gravitational waves after GW170817. https://doi.org/10.1140/epjc%2Fs10052-023-11861-9

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