PreprintarXiv licencearXiv
Instability of naked singularities of perfect fluid under C1,α gravitational perturbations
Abstract
We study the instability of the naked singularities arising in the spherically symmetric self-similar collapsing of the Einstein--Euler system under gravitational perturbations. We show that small C1,α perturbations (without any symmetries) of the initial conformal metric lead to trapped surface formation. One key point is that the speed of sound is strictly slower the the speed of light, so the gravitational radiation can become sufficiently concentrated to form a trapped surface before the fluid develops any singularity.
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BibTeX
@misc{li2026instability,
title = {{Instability of naked singularities of perfect fluid under $C^1,α$ gravitational perturbations}},
author = {Junbin Li and Tingting Li and Xi-Ping Zhu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23357},
eprint = {2609.23357},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23357},
}
RIS
TY - UNPB
TI - Instability of naked singularities of perfect fluid under C^1,α gravitational perturbations
AU - Junbin Li
AU - Tingting Li
AU - Xi-Ping Zhu
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.23357
UR - https://arxiv.org/abs/2609.23357
AB - We study the instability of the naked singularities arising in the spherically symmetric self-similar collapsing of the Einstein--Euler system under gravitational perturbations. We show that small C^1,α perturbations (without any symmetries) of the initial conformal metric lead to trapped surface formation. One key point is that the speed of sound is strictly slower the the speed of light, so the gravitational radiation can become sufficiently concentrated to form a trapped surface before the fluid develops any singularity.
ER -