Open AccessAnalytic Integral Solutions for Induced Gravitational Waves
Author(s) -
JinnOuk Gong
Publication year - 2022
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.3847/1538-4357/ac3a6c
Subject(s) - physics , gravitational wave , scalar (mathematics) , tensor (intrinsic definition) , order (exchange) , gravitation , astrophysics , classical mechanics , mathematical physics , pure mathematics , geometry , mathematics , finance , economics
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.