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PreprintCC BY 4.0arXiv

Quasi-isotropic Asymptotic Expansions in Varying Speed of Light Cosmologies

  • Dimitrios Trachilis
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Abstract

We generalize the quasi-isotropic solution of the Einstein equations near a cosmological initial singularity to models with a varying speed of light and/or a varying gravitational 'constant'. We construct a formal asymptotic series expansion in a synchronous reference system, taking into account the additional degrees of freedom introduced by the two varying 'constants'. By applying the Landau-Lifshitz quasi-isotropic method, we go beyond the standard results of previous studies that based on the Friedmann-Lemaître-Robertson-Walker (FLRW) model, providing a more general asymptotic analysis of varying speed of light cosmologies. We show that the resulting solutions do not contain the required number of arbitrary functions to qualify as general solutions of these theories.

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Cite

BibTeXRIS
BibTeX
@misc{trachilis2026quasiisotropic,
  title = {{Quasi-isotropic Asymptotic Expansions in Varying Speed of Light Cosmologies}},
  author = {Dimitrios Trachilis},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11217},
  eprint = {2609.11217},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11217},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quasi-isotropic Asymptotic Expansions in Varying Speed of Light Cosmologies
AU  - Dimitrios Trachilis
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11217
UR  - https://arxiv.org/abs/2609.11217
AB  - We generalize the quasi-isotropic solution of the Einstein equations near a cosmological initial singularity to models with a varying speed of light and/or a varying gravitational 'constant'. We construct a formal asymptotic series expansion in a synchronous reference system, taking into account the additional degrees of freedom introduced by the two varying 'constants'. By applying the Landau-Lifshitz quasi-isotropic method, we go beyond the standard results of previous studies that based on the Friedmann-Lemaître-Robertson-Walker (FLRW) model, providing a more general asymptotic analysis of varying speed of light cosmologies. We show that the resulting solutions do not contain the required number of arbitrary functions to qualify as general solutions of these theories.
ER  -