@article{2af7d57c0cbd4bf898dccc4ed1b659d4,
title = "Analytic Integral Solutions for Induced Gravitational Waves",
abstract = "We present analytic integral solutions for the second-order induced gravitational waves (GWs). After presenting all the possible second-order source terms, we calculate explicitly the solutions for the GWs induced by the linear scalar and tensor perturbations during matter- and radiation-dominated epochs.",
author = "Gong, {Jinn Ouk}",
note = "Funding Information: J.-G. thanks Jai-chan Hwang, Donghui Jeong, Kazunori Kohri, Sachiko Kuroyanagi, Takahiro Terada, and Jaiyul Yoo for helpful comments and discussions. J.-G. also thanks the anonymous referee for her/his constructive feedback that improved the content of this article. This work is supported in part by the Basic Science Research Program (2016R1D1A1B03930408) and Mid-career Research Program (2019R1A2C2085023) through the National Research Foundation of Korea Research Grants. J.-G. also acknowledges the Korea-Japan Basic Scientific Cooperation Program supported by the National Research Foundation of Korea and the Japan Society for the Promotion of Science (2018K2A9A2A08000127 and 2020K2A9A2A08000097) and the Ewha Womans University Research grant of 2020 (1-2020-1630-001-1). J.-G. is grateful to the Asia Pacific Center for Theoretical Physics for Focus Research Program “The origin and evolution of the Universe” where parts of this work were presented and discussed. Publisher Copyright: {\textcopyright} 2022. The Author(s). Published by the American Astronomical Society.",
year = "2022",
month = jan,
day = "1",
doi = "10.3847/1538-4357/ac3a6c",
language = "English",
volume = "925",
journal = "Astrophysical Journal",
issn = "0004-637X",
publisher = "American Astronomical Society",
number = "1",
}