Note on gauge invariance of second order cosmological perturbations *
Zhe Chang, Sai Wang, Qing-Hua Zhu
Abstract
Abstract We study the gauge invariant cosmological perturbations up to the second order. We demonstrate that there are infinite families of gauge invariant variables at both the first and second orders. The conversion formulae among different families are verified to be described by a finite number of bases that are gauge invariant. For the second order cosmological perturbations induced by the first order scalar perturbations, we explicitly represent their equations of motion in terms of the gauge invariant Newtonian, synchronous and hybrid variables, respectively.
Topics & Concepts
PhysicsInvariant (physics)Gauge (firearms)Mathematical physicsGauge theoryScalar (mathematics)Equations of motionLorenz gauge conditionOrder (exchange)First orderIntroduction to gauge theoryCosmological perturbation theoryTheoretical physicsClassical mechanicsBRST quantizationQuantum electrodynamicsHamiltonian lattice gauge theoryPerturbation (astronomy)Supersymmetric gauge theoryGauge anomalyCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsQuantum and Classical Electrodynamics