Work

Finite Mass Response to Vanishing Perturbations at Cauchy Horizons

Year: 2026
Type: preprint
Abstract: Smooth transverse perturbations with vanishing $L^p$ norm, for fixed finite $p\ge4$, 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.
Author: Li, Yi-kun
Language: English
Open Access status: green
OpenAlex ID: W7223687868
Cites: 8
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Related to: 10