Analytic Integral Solutions for Induced Gravitational Waves
Jinn-Ouk Gong
Abstract
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.
Topics & Concepts
Gravitational waveScalar (mathematics)PhysicsOrder (exchange)Tensor (intrinsic definition)GravitationMathematical analysisMathematical physicsClassical mechanicsMathematicsAstrophysicsPure mathematicsGeometryEconomicsFinancePulsars and Gravitational Waves ResearchCosmology and Gravitation TheoriesGamma-ray bursts and supernovae