Observation angles, Fermi coordinates, and the Geodesic-Light-Cone gauge
arXiv:1812.03671 · doi:10.1088/1475-7516/2019/01/004
Abstract
We show that the angular directions locally measured by a static geodesic observer in a generic cosmological background and expressed in the system of Fermi Normal Coordinates always coincide with those expressed in the Geodesic-Light-Cone (GLC) gauge, up to a local transformation which exploits the residual gauge freedom of the GLC coordinates. This is not the case for other gauges - like, for instance, the synchronous and longitudinal gauge - commonly used in the context of observational cosmology. We also make an explicit proposal for the GLC gauge-fixing condition that ensures a full identification of its angles with the observational ones.
14 pages, version accepted for publication on JCAP