Large-Scale Structure Observables in General Relativity
Abstract
We review recent studies that rigorously define several key observables of the large-scale structure of the Universe in a general relativistic context. Specifically, we consider i) redshift perturbation of cosmic clock events; ii) distortion of cosmic rulers, including weak lensing shear and magnification; iii) observed number density of tracers of the large-scale structure. We provide covariant and gauge-invariant expressions of these observables. Our expressions are given for a linearly perturbed flat Friedmann-Robertson-Walker metric including scalar, vector, and tensor metric perturbations. While we restrict ourselves to linear order in perturbation theory, the approach can be straightforwardly generalized to higher order.
Cite
@article{arxiv.1407.7979,
title = {Large-Scale Structure Observables in General Relativity},
author = {Donghui Jeong and Fabian Schmidt},
journal= {arXiv preprint arXiv:1407.7979},
year = {2015}
}
Comments
24 pages, 3 figures. A review article submitted to CQG focus issue "Relativistic Effects in Cosmology". arXiv admin note: substantial text overlap with arXiv:1204.3625, v2: correct one missing reference