High-Energy Gravitational Waves Emission from a Thermal Source

Abstract

We study the production of gravitational waves by a thermalized plasma of N = 4 supersymmetric Yang Mills matter in the high number of colors, high coupling limits. This process is governed by a particular light-like thermal correlator of the Energy-Momentum tensor that we study via the gauge/gravity duality. We focus on the high-energy limit, k ≫ T , and via a WKB approximation we drive an analytical solution for the energy density of emitted gravitational waves from a thermal source, obtaining a non-trivial dependency dρ 3GW ∝ ω4/3T 8/3; and for the Energy-Momentum tensor thermal correlator at arbitrary momentum