On Asymptotically Locally Hyperbolic Metrics with Negative Mass

被引：1

作者：

Chrusciel, Piotr T. ^{[1
]}

Delay, Erwann ^{[2
,3
]}

机构：

[1] Univ Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, Austria

[2] Avignon Univ, Lab Math Avignon, F-84916 Avignon, France

[3] CNRS, FRUMAM, F-13331 Marseille, France

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2023年 / 19卷

关键词：

scalar curvature; asymptotically hyperbolic manifolds; negative mass;

D O I：

10.3842/SIGMA.2023.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct families of asymptotically locally hyperbolic Riemannian metrics with constant scalar curvature (i.e., time symmetric vacuum general relativistic initial data sets with negative cosmological constant), with prescribed topology of apparent horizons and of the conformal boundary at infinity, and with controlled mass. In particular we obtain new classes of solutions with negative mass.

引用

页数：15

共 17 条

[1] Energy In higher-dimensional spacetimes [J].

Barzegar, Hamed ;

Chrusciel, Piotr T. ;

Hoerzinger, Michael .

PHYSICAL REVIEW D, 2017, 96 (12)

[2] Topological black holes in anti-de Sitter space [J].

Birmingham, D .

CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (04) :1197-1205

[3]

Chrusciel P.T., 2020, INT SER MONOGR PHYS, V169

[4]

Chrusciel PT, 2023, Arxiv, DOI arXiv:2112.00095

[5]

Chrusciel PT, 2019, Arxiv, DOI arXiv:1901.05263

[6] EXOTIC HYPERBOLIC GLUINGS [J].

Chrusciel, Piotr T. ;

Delay, Erwann .

JOURNAL OF DIFFERENTIAL GEOMETRY, 2018, 108 (02) :243-293

[7] Topological censorship and higher genus black holes [J].

Galloway, GJ ;

Schleich, K ;

Witt, DM ;

Woolgar, E .

PHYSICAL REVIEW D, 1999, 60 (10)

[8]

Guillarmou C, 2017, ANN SCUOLA NORM-SCI, V17, P323

[9] Computing Asymptotic Invariants with the Ricci Tensor on Asymptotically Flat and Asymptotically Hyperbolic Manifolds [J].

Herzlich, Marc .

ANNALES HENRI POINCARE, 2016, 17 (12) :3605-3617

[10] AdS-CFT correspondence and a new positive energy conjecture for general relativity [J].

Horowitz, GT ;

Myers, RC .

PHYSICAL REVIEW D, 1999, 59 (02)

← 1 2 →