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Light propagation in a homogeneous and anisotropic universe

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arxiv 1410.8473 v3 pith:QUA7N3PT submitted 2014-10-29 gr-qc astro-ph.CO

Light propagation in a homogeneous and anisotropic universe

classification gr-qc astro-ph.CO
keywords lightbianchipropagationanalysisanisotropichomogeneousspacetimeuniverse
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This article proposes a comprehensive analysis of light propagation in an anisotropic and spatially homogeneous Bianchi I universe. After recalling that null geodesics are easily determined in such a spacetime, we derive the expressions of the redshift and direction drifts of light sources; by solving analytically the Sachs equation, we then obtain an explicit expression of the Jacobi matrix describing the propagation of narrow light beams. As a byproduct, we recover the old formula by Saunders for the angular diameter distance in a Bianchi I spacetime, but our derivation goes further since it also provides the optical shear and rotation. These results pave the way to the analysis of both supernovae data and weak lensing by the large-scale structure in Bianchi universes.

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