Large-Scale Structure Observables in General Relativity
arXiv:1407.7979 · doi:10.1088/0264-9381/32/4/044001
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.
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
References in corpus (6)
- The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
- New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
- Constraints on intrinsic alignment contamination of weak lensing surveys using the MegaZ-LRG sample
- Beyond the Linear-Order Relativistic Effect in Galaxy Clustering: Second-Order Gauge-Invariant Formalism
- De-Rotation of the Cosmic Microwave Background Polarization: Full-Sky Formalism
- Constraining the neutrino emission of gravitationally lensed Flat-Spectrum Radio Quasars with ANTARES data