Scalar induced gravitational waves in different gauges
Chen Yuan, Zu-Cheng Chen, Qing-Guo Huang
Abstract
In this paper we calculate the scalar induced gravitational waves (SIGWs) accompanying the formation of primordial black holes during the radiation dominated era in three different gauges, i.e., the synchronous gauge, Newton gauge, and uniform curvature gauge, and we find that the energy density spectra of SIGWs, ${\mathrm{\ensuremath{\Omega}}}_{\mathrm{GW}}(k)$, are identical in these three different gauges.
Topics & Concepts
PhysicsGravitational waveGauge (firearms)CurvatureScalar (mathematics)OmegaGravitationScalar curvatureGauge theorySpectral lineQuantum electrodynamicsEnergy densityGravitational redshiftMathematical physicsClassical mechanicsAstrophysicsTheoretical physicsQuantum mechanicsGeometryMathematicsArchaeologyHistoryPulsars and Gravitational Waves ResearchCosmology and Gravitation TheoriesBlack Holes and Theoretical Physics