Second-order Gauge-invariant Cosmological Perturbation Theory: Current Status

Abstract

The current status of the recent developments of the second-order gauge-invariant cosmological perturbation theory is reviewed. To show the essence of this perturbation theory, we concentrate only on the universe filled with a single scalar field. Through this review, we point out the problems which should be clarified for the further theoretical sophistication of this perturbation theory. We also expect that this theoretical sophistication will be also useful to discuss the theoretical predictions of Non-Gaussianity in CMB and comparison with observations.

26 pages, 2 figures, Summary report on the current status of the second-order gauge-invariant cosmological perturbation theory, Published as an invited review in the Special Issue "Testing the Gaussianity and Statistical Isotropy of the Universe" in Advances in Astronomy

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Cited by in corpus (18)

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• Dynamics of cosmological perturbations at first and second order
• General formulation of general-relativistic higher-order gauge-invariant perturbation theory
• A short note on the curvature perturbation at second order
• Evolution of magnetic fields through cosmological perturbation theory
• Proposal of a gauge-invariant treatment of l=0,1-mode perturbations on Schwarzschild Background Spacetime
• Recursive structure in the definitions of gauge-invariant variables for any order perturbations
• The Berry phase in inflationary cosmology
• A simplified structure for the second order cosmological perturbation equations
• Post-linear metric of a compact source of matter
• Cosmological Perturbations: Vorticity, Isocurvature and Magnetic Fields
• Contrasting formulations of cosmological perturbations in a magnetic FLRW cosmology
• Comparing a gauge-invariant formulation and a "conventional complete gauge-fixing approach" for $l=0,1$ mode perturbations on the Schwarzschild background spacetime
• Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part I : -- Formulation and odd-mode perturbations
• Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part II: -- Even-mode perturbations