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Improved Gauge Conditions for Large Expansion Cosmological Models
Abstract
This study develops a new gauge condition for performing long duration numerical evolutions of Einstein's equation on cosmological spacetimes with non-trivial spatial topologies. This new gauge makes it possible to perform reliable numerical evolutions on these manifolds in which the spatial volumes become more than one million times larger. This new condition was tested for this study by evolving homogeneous and isotropic initial data on exemplar manifolds with three spatial topologies: Sixth-Turn space, the lens space L(5,2), and the Seifert fiber space SFS[S2:(2,1)(2,1)(2,-1)].
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BibTeX
@misc{zhang2026improved,
title = {{Improved Gauge Conditions for Large Expansion Cosmological Models}},
author = {Fan Zhang and Lee Lindblom},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36123},
eprint = {2610.36123},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36123},
}
RIS
TY - UNPB
TI - Improved Gauge Conditions for Large Expansion Cosmological Models
AU - Fan Zhang
AU - Lee Lindblom
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.36123
UR - https://arxiv.org/abs/2610.36123
AB - This study develops a new gauge condition for performing long duration numerical evolutions of Einstein's equation on cosmological spacetimes with non-trivial spatial topologies. This new gauge makes it possible to perform reliable numerical evolutions on these manifolds in which the spatial volumes become more than one million times larger. This new condition was tested for this study by evolving homogeneous and isotropic initial data on exemplar manifolds with three spatial topologies: Sixth-Turn space, the lens space L(5,2), and the Seifert fiber space SFS[S2:(2,1)(2,1)(2,-1)].
ER -