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Dimensional reduction associated with unchanged direction trajectories in flat fiber Robertson Walker spacetimes

Abstract

In this article, we establish a new dimensional reduction result in (Galilean or Lorentzian) Robertson Walker spacetimes with Euclidean fiber. In this context, we prove that every unchanged direction observer can be embedded into a three dimensional totally geodesic timelike submanifold.

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BibTeX
@misc{fuente2026dimensional,
  title = {{Dimensional reduction associated with unchanged direction trajectories in flat fiber Robertson Walker spacetimes}},
  author = {D. de la Fuente and R. M. Rubio and J. Torrente-Teruel},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00229},
  eprint = {2609.00229},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00229},
}
RIS
TY  - UNPB
TI  - Dimensional reduction associated with unchanged direction trajectories in flat fiber Robertson Walker spacetimes
AU  - D. de la Fuente
AU  - R. M. Rubio
AU  - J. Torrente-Teruel
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00229
UR  - https://arxiv.org/abs/2609.00229
AB  - In this article, we establish a new dimensional reduction result in (Galilean or Lorentzian) Robertson Walker spacetimes with Euclidean fiber. In this context, we prove that every unchanged direction observer can be embedded into a three dimensional totally geodesic timelike submanifold.
ER  -