Observed Angles and Geodesic Light-Cone Coordinates

Abstract

We discuss the interpretation of the angles in the Geodesic Light-Cone (GLC) coordinates. In particular, we clarify the way in which these angles can be identified with the observed ones. We show that, although this identification is always possible in principle, one cannot implement it in the usual gauge-fixing way, i.e. through a set of conditions on the GLC metric. Rather, one needs to invoke a tetrad at the observer and a Cartesian-like coordinate system in order to obtain the desired map globally on the observed sky.

6 pages, final version accepted for publication in Classical and Quantum Gravity

References in corpus (5)

• Galaxy number counts to second order and their bispectrum
• Do stochastic inhomogeneities affect dark-energy precision measurements?
• Backreaction on the luminosity-redshift relation from gauge invariant light-cone averaging
• Optical drift effects in general relativity
• Lensing in the Geodesic Light-Cone coordinates and its (exact) illustration to an off-center observer in Lemaître-Tolman-Bondi models

Cited by in corpus (7)

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• Cutting out the cosmological middle man: General Relativity in the light-cone coordinates
• Rotation of the CMB polarisation by foreground lensing
• Tetrad formalism for exact cosmological observables
• Observation angles, Fermi coordinates, and the Geodesic-Light-Cone gauge
• A Simple, Exact Formulation of Number Counts in the Geodesic-Light-Cone Gauge