REGULARITY OF THE FUTURE EVENT HORIZON IN PERTURBATIONS OF KERR

Xuantao Chen; Sergiu Klainerman

doi:10.1215/00127094-2025-0052

REGULARITY OF THE FUTURE EVENT HORIZON IN PERTURBATIONS OF KERR

Xuantao Chen
, Sergiu Klainerman

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The goal of the article is to show that the event horizons of the spacetimes constructed by Klainerman and Szeftel in the proof of the nonlinear stability of slowly rotating Kerr spacetimes (a₀,m₀) are in fact sufficiently regular null hypersurfaces. The results remain valid for the entire range of |a₀|/m₀ for which stability can be established. We show, in fact, that they depend on a much weaker set of smallness assumptions than those derived by Klainerman and Szeftel.

Original language	English (US)
Pages (from-to)	1737-1801
Number of pages	65
Journal	Duke Mathematical Journal
Volume	175
Issue number	10
DOIs	https://doi.org/10.1215/00127094-2025-0052
State	Published - Jul 15 2026

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1215/00127094-2025-0052

Cite this

@article{05beda9f8d784f0fb25adeac8d50ebe9,

title = "REGULARITY OF THE FUTURE EVENT HORIZON IN PERTURBATIONS OF KERR",

abstract = "The goal of the article is to show that the event horizons of the spacetimes constructed by Klainerman and Szeftel in the proof of the nonlinear stability of slowly rotating Kerr spacetimes (a0,m0) are in fact sufficiently regular null hypersurfaces. The results remain valid for the entire range of |a0|/m0 for which stability can be established. We show, in fact, that they depend on a much weaker set of smallness assumptions than those derived by Klainerman and Szeftel.",

author = "Xuantao Chen and Sergiu Klainerman",

note = "Publisher Copyright: {\textcopyright} 2026",

year = "2026",

month = jul,

day = "15",

doi = "10.1215/00127094-2025-0052",

language = "English (US)",

volume = "175",

pages = "1737--1801",

journal = "Duke Mathematical Journal",

issn = "0012-7094",

publisher = "Duke University Press",

number = "10",

}

TY - JOUR

T1 - REGULARITY OF THE FUTURE EVENT HORIZON IN PERTURBATIONS OF KERR

AU - Chen, Xuantao

AU - Klainerman, Sergiu

PY - 2026/7/15

Y1 - 2026/7/15

N2 - The goal of the article is to show that the event horizons of the spacetimes constructed by Klainerman and Szeftel in the proof of the nonlinear stability of slowly rotating Kerr spacetimes (a0,m0) are in fact sufficiently regular null hypersurfaces. The results remain valid for the entire range of |a0|/m0 for which stability can be established. We show, in fact, that they depend on a much weaker set of smallness assumptions than those derived by Klainerman and Szeftel.

AB - The goal of the article is to show that the event horizons of the spacetimes constructed by Klainerman and Szeftel in the proof of the nonlinear stability of slowly rotating Kerr spacetimes (a0,m0) are in fact sufficiently regular null hypersurfaces. The results remain valid for the entire range of |a0|/m0 for which stability can be established. We show, in fact, that they depend on a much weaker set of smallness assumptions than those derived by Klainerman and Szeftel.

UR - https://www.scopus.com/pages/publications/105046360624

UR - https://www.scopus.com/pages/publications/105046360624#tab=citedBy

U2 - 10.1215/00127094-2025-0052

DO - 10.1215/00127094-2025-0052

M3 - Article

AN - SCOPUS:105046360624

SN - 0012-7094

VL - 175

SP - 1737

EP - 1801

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 10

ER -

REGULARITY OF THE FUTURE EVENT HORIZON IN PERTURBATIONS OF KERR

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this