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Geodesic-light-cone coordinates and the Bianchi I spacetime

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arxiv 1602.04461 v2 pith:QQCE2AWU submitted 2016-02-14 gr-qc astro-ph.CO

Pierre Fleury , Fabien Nugier , Giuseppe Fanizza This is my paper · ORCID
classification gr-qcastro-ph.CO
keywords anisotropicbianchicoordinatesgeodesic-light-coneaccordingaffectallowsanalyse
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The geodesic-light-cone (GLC) coordinates are a useful tool to analyse light propagation and observations in cosmological models. In this article, we propose a detailed, pedagogical, and rigorous introduction to this coordinate system, explore its gauge degrees of freedom, and emphasize its interest when geometric optics is at stake. We then apply the GLC formalism to the homogeneous and anisotropic Bianchi I cosmology. More than a simple illustration, this application (i) allows us to show that the Weinberg conjecture according to which gravitational lensing does not affect the proper area of constant-redshift surfaces is significantly violated in a globally anisotropic universe; and (ii) offers a glimpse into new ways to constrain cosmic isotropy from the Hubble diagram.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonlinear Relativistic Effects on Cosmological Redshift Drift

    astro-ph.CO 2026-04 unverdicted novelty 8.0 of 10

    Second-order relativistic effects on redshift drift are computed, showing distortions appear only at this order with enhanced nonlinear bispectrum contributions at low redshift and large momenta.

  2. Tetrad formalism for exact cosmological observables

    astro-ph.CO 2019-08 accept novelty 7.0 of 10

    The paper derives exact, coordinate-independent equations for cosmological observables on a new 'observer space-time' manifold, using tetrads to track the observer frame.

  3. A Quantitative Framework for Testing the Hubble Tension in a Bianchi Type I Cosmological Background

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    An analytic weak-shear Bianchi I calculation bounds the low-redshift luminosity-distance quadrupole to |Aμ(0.15)|≲2.4×10^-11 mag under BBN shear limits, ruling out shear-only resolution of the Hubble tension.

  4. Gravitational Lensing in a Kasner Background: Distinguishing Wormholes and Black Holes

    gr-qc 2026-07 conditional novelty 5.0 of 10

    In a Kasner (anisotropic) universe, wormhole and black-hole lenses produce different directional splits of the Einstein-like scale, while the full critical curves remain nearly circular.

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