PreprintCC BY 4.0arXiv
Critical collapse remains discretely self-similar at large D
Abstract
When matter collapses at the threshold of black hole formation spacetime typically has an emergent continuous or discrete symmetry, depending on the matter content. For the Einstein-Klein-Gordon model in any finite dimension D>3 the associated critical spacetime solutions exhibit discrete self-similarity, characterized by the echoing period Delta. Combining analytical and numerical results with dimensions up to D=200 we predict Delta remains finite at infinite dimension D, contrary to a recent conjecture. We find the fit Delta=1.6439+10.37/D-O(1/D^2) and provide an explicit large-D model.
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BibTeX
@misc{ecker2026critical,
title = {{Critical collapse remains discretely self-similar at large D}},
author = {Christian Ecker and Florian Ecker and Daniel Grumiller},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07007},
eprint = {2611.07007},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07007},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Critical collapse remains discretely self-similar at large D
AU - Christian Ecker
AU - Florian Ecker
AU - Daniel Grumiller
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.07007
UR - https://arxiv.org/abs/2611.07007
AB - When matter collapses at the threshold of black hole formation spacetime typically has an emergent continuous or discrete symmetry, depending on the matter content. For the Einstein-Klein-Gordon model in any finite dimension D>3 the associated critical spacetime solutions exhibit discrete self-similarity, characterized by the echoing period Delta. Combining analytical and numerical results with dimensions up to D=200 we predict Delta remains finite at infinite dimension D, contrary to a recent conjecture. We find the fit Delta=1.6439+10.37/D-O(1/D^2) and provide an explicit large-D model.
ER -