Comments on gauge-invariance in cosmology

Abstract

We revisit the gauge issue in cosmological perturbation theory, and highlight its relation to the notion of covariance in general relativity. We also discuss the similarities and differences of the covariant approach in perturbation theory to the Bardeen or metric approach in a non-technical fashion.

7 pages, 1 figure, revtex4; v3: minor changes, typos corrected, discussion extended; v4: typos corrected, corresponding to published version

References in corpus (7)

• Relativistic cosmology and large-scale structure
• Second-order Gauge Invariant Cosmological Perturbation Theory: -- Einstein equations in terms of gauge invariant variables --
• A Concise Introduction to Perturbation Theory in Cosmology
• Numerical calculation of second order perturbations
• Practical tools for third order cosmological perturbations
• Comparing different formulations of non-linear cosmological perturbation theory
• Locally extracting scalar, vector and tensor modes in cosmological perturbation theory

Cited by in corpus (6)

• Vector and tensor contributions to the curvature perturbation at second order
• Inflation without quantum gravity
• Spherically Symmetric N-body Simulations with General Relativistic Dynamics
• Gauge invariants of linearized gravity with a general background metric
• Post-linear metric of a compact source of matter
• Isocurvature initial conditions for second order Boltzmann solvers