Brill Waves with Slow Fall-Off Towards Spatial Infinity

Fuente: arXiv
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Hauptverfasser: Bieri, Lydia, Garfinkle, David, Wheeler, James
Format: Preprint
Veröffentlicht: 2025
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author Bieri, Lydia
Garfinkle, David
Wheeler, James
author_facet Bieri, Lydia
Garfinkle, David
Wheeler, James
contents We compute families of solutions to the Einstein vacuum equations of the type of Brill waves, but with slow fall-off towards spatial infinity. We prove existence and uniqueness of solutions for physical data and numerically construct some representative solutions. We numerically construct an explicit example with slow-off which does not exhibit antipodal symmetry at spatial infinity.
format Preprint
id arxiv_https___arxiv_org_abs_2501_07877
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Brill Waves with Slow Fall-Off Towards Spatial Infinity
Bieri, Lydia
Garfinkle, David
Wheeler, James
General Relativity and Quantum Cosmology
Mathematical Physics
We compute families of solutions to the Einstein vacuum equations of the type of Brill waves, but with slow fall-off towards spatial infinity. We prove existence and uniqueness of solutions for physical data and numerically construct some representative solutions. We numerically construct an explicit example with slow-off which does not exhibit antipodal symmetry at spatial infinity.
title Brill Waves with Slow Fall-Off Towards Spatial Infinity
topic General Relativity and Quantum Cosmology
Mathematical Physics
url https://arxiv.org/abs/2501.07877