Second-order gauge-invariant formalism for the cosmological observables: complete verification of their gauge-invariance

DOI10.1088/1475-7516/2022/09/071OpenAlexW4297536957MaRDI QIDQ5042562

Matteo Magi, Jaiyul Yoo

Publication date: 20 October 2022

Published in: Journal of Cosmology and Astroparticle Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01751

zbMATH Keywords

cosmological perturbation theorygalaxy clusteringsupernova type Ia-standard candles

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Gravitational energy and conservation laws; groups of motions (83C40) Perturbations in context of PDEs (35B20) Galactic and stellar structure (85A15) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (3)

Non-Gaussianity in the squeezed three-point correlation from the relativistic effects ⋮ Synchronous coordinates and gauge-invariant observables in cosmological spacetimes ⋮ Infrared (in)sensitivity of relativistic effects in cosmological observable statistics

Cites Work

• Republication of: Perturbations of a cosmological model and angular variations of the microwave background. Edited and with commentary by George Ellis and with notes on Sachs-Wolfe integration by Jürgen Ehlers. With brief autobiographies by Sachs and Wolfe.
• Relativistic effect in galaxy clustering
• Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification: I. Key results
• Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification: II. Derivation
• Testing inflationary consistency relations by the potential CMB observations
• Observed galaxy number counts on the light cone up to second order: III. Magnification bias
• The magnitude–redshift relation in a perturbed Friedmann universe
• The luminosity distance–redshift relation up to second order in the Poisson gauge with anisotropic stress
• Tetrad Formalism for Exact Cosmological Observables
• Exact non-linear equations for cosmological perturbations
• Gauge-transformation properties of cosmological observables and its application to the light-cone average
• Imprints of local lightcone \ projection effects on the galaxy bispectrum. Part II
• Gauge-invariant formalism of cosmological weak lensing
• Jacobi mapping approach for a precise cosmological weak lensing formalism
• Non-linear general relativistic effects in the observed redshift
• Non-Gaussianities due to relativistic corrections to the observed galaxy bispectrum
• A general relativistic signature in the galaxy bispectrum: the local effects of observing on the lightcone
• Light-cone observables and gauge-invariance in the geodesic light-cone formalism
• Gauge-invariance and infrared divergences in the luminosity distance
• Covariant decomposition of the non-linear galaxy number counts and their monopole
• Cosmological information contents on the light-cone
• Cutting out the cosmological middle man: general relativity in the light-cone coordinates
• Full-sky weak lensing: a nonlinear post-Friedmann treatment
• General Relativity
• Existence of Long-Range Magnetic Order in the Ground State of Two-Dimensional Spin-1/2 Heisenberg Antiferromagnets

This page was built for publication: Second-order gauge-invariant formalism for the cosmological observables: complete verification of their gauge-invariance