The dipole functions in quasispherical Szekeres models shift shells relative to each other and rotate their local frames by exact amounts, and the paper shows how these effects explain the models' geometry.
Studying the precision of ray tracing techniques with Szekeres models
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abstract
The simplest standard ray tracing scheme employing the Born and Limber approximations and neglecting lens-lens coupling is used for computing the convergence along individual rays in mock N-body data based on Szekeres swiss cheese and onion models. The results are compared with the exact convergence computed using the exact Szekeres metric combined with the Sachs formalism. A comparison is also made with an extension of the simple ray tracing scheme which includes the Doppler convergence. The exact convergence is reproduced very precisely as the sum of the gravitational and Doppler convergences along rays in Lemaitre-Tolman-Bondi models. This is not the case when the models are based on non-symmetric Szekeres models. For such models, there is a significant deviation between the exact and ray traced paths and hence also the corresponding convergences.
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gr-qc 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Physical geometry of the quasispherical Szekeres models
The dipole functions in quasispherical Szekeres models shift shells relative to each other and rotate their local frames by exact amounts, and the paper shows how these effects explain the models' geometry.