Light-Cone Observables and Gauge-Invariance in the Geodesic Light-Cone Formalism
Abstract
The remarkable properties of the geodesic light-cone (GLC) coordinates allow analytic expressions for the light-cone observables, providing a new non-perturbative way for calculating the effects of inhomogeneities in our Universe. However, the gauge-invariance of these expressions in the GLC formalism has not been shown explicitly. Here we provide this missing part of the GLC formalism by proving the gauge-invariance of the GLC expressions for the light-cone observables, such as the observed redshift, the luminosity distance, and the physical area and volume of the observed sources. Our study provides a new insight on the properties of the GLC coordinates and it complements the previous work by the GLC collaboration, leading to a comprehensive description of light propagation in the GLC representation.
Keywords
Cite
@article{arxiv.1703.08552,
title = {Light-Cone Observables and Gauge-Invariance in the Geodesic Light-Cone Formalism},
author = {Fulvio Scaccabarozzi and Jaiyul Yoo},
journal= {arXiv preprint arXiv:1703.08552},
year = {2017}
}
Comments
25 pages, no figures, published in JCAP