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Finite Mass Response to Vanishing Perturbations at Cauchy Horizons
Abstract
Smooth transverse perturbations with vanishing Lp norm, for fixed finite p≥4, can leave a finite positive mass increment at a Cauchy horizon. We prove this at a critical surface-gravity relation in the spherical Einstein--Maxwell--scalar system with positive cosmological constant. Each solution has bounded mass and local finite-energy weak extensions. The response escapes every fixed time window. An analytic law determines its delay and duration, and resolves enhancement or cancellation for overlapping packets.
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BibTeX
@misc{li2026finite,
title = {{Finite Mass Response to Vanishing Perturbations at Cauchy Horizons}},
author = {Yi-kun Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31691},
eprint = {2610.31691},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31691},
}
RIS
TY - UNPB
TI - Finite Mass Response to Vanishing Perturbations at Cauchy Horizons
AU - Yi-kun Li
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.31691
UR - https://arxiv.org/abs/2610.31691
AB - Smooth transverse perturbations with vanishing L^p norm, for fixed finite p≥4, can leave a finite positive mass increment at a Cauchy horizon. We prove this at a critical surface-gravity relation in the spherical Einstein--Maxwell--scalar system with positive cosmological constant. Each solution has bounded mass and local finite-energy weak extensions. The response escapes every fixed time window. An analytic law determines its delay and duration, and resolves enhancement or cancellation for overlapping packets.
ER -