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PreprintCC BY-NC-SA 4.0HAL

The cosmic multipoles: a consistency test for the Szekeres cosmological model

Abstract

An important property of the quasi-spherical Szekeres cosmological model appears to be widely misunderstood in the literature. In this paper, the claim that the matter density can be fully decomposed on a given 2-shell into a dipole superposed on a monopole is shown to be inaccurate and exact propositions are substituted. Then, the multipole decompositions of three different quantities linked to the mass density are displayed and proposed to constrain the Szekeres parameters with observed data. A test of the axial symmetry assumption, together with that of an on-axis observer, using a property of the angular coefficients is also suggested.

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BibTeX
@misc{celerier2026cosmic,
  title = {{The cosmic multipoles: a consistency test for the Szekeres cosmological model}},
  author = {Marie-Noëlle Célérier},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01154},
  eprint = {2609.01154},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05742655v1},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - The cosmic multipoles: a consistency test for the Szekeres cosmological model
AU  - Marie-Noëlle Célérier
PY  - 2026
DA  - 2026/09/08
PB  - HAL
DO  - 10.48550/arxiv.2609.01154
UR  - https://hal.science/hal-05742655v1
AB  - An important property of the quasi-spherical Szekeres cosmological model appears to be widely misunderstood in the literature. In this paper, the claim that the matter density can be fully decomposed on a given 2-shell into a dipole superposed on a monopole is shown to be inaccurate and exact propositions are substituted. Then, the multipole decompositions of three different quantities linked to the mass density are displayed and proposed to constrain the Szekeres parameters with observed data. A test of the axial symmetry assumption, together with that of an on-axis observer, using a property of the angular coefficients is also suggested.
ER  -