PreprintarXiv licencearXiv
Global isometric embedding of the Kerr spacetime and beyond
Abstract
We construct a new isometric embedding of the Kerr spacetime into (5+7)-dimensional flat spacetime. It is asymptotically flat, covers the entire r>0 region and has a very simple form. We also show how this embedding can be generalized to any spacetime admitting a Kerr-Schild-like decomposition of the metric.
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BibTeX
@misc{markov2026global,
title = {{Global isometric embedding of the Kerr spacetime and beyond}},
author = {Mikhail Markov and Anton Sheykin},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.24735},
eprint = {2610.24735},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.24735},
}
RIS
TY - UNPB
TI - Global isometric embedding of the Kerr spacetime and beyond
AU - Mikhail Markov
AU - Anton Sheykin
PY - 2026
DA - 2026/10/17
PB - arXiv
DO - 10.48550/arxiv.2610.24735
UR - https://arxiv.org/abs/2610.24735
AB - We construct a new isometric embedding of the Kerr spacetime into (5+7)-dimensional flat spacetime. It is asymptotically flat, covers the entire r>0 region and has a very simple form. We also show how this embedding can be generalized to any spacetime admitting a Kerr-Schild-like decomposition of the metric.
ER -