Collisions of Particles in Locally AdS Spacetimes II Moduli of Globally Hyperbolic Spaces

被引：5

作者：

Barbot, Thierry ^{[1
]}

Bonsante, Francesco ^{[2
]}

Schlenker, Jean-Marc ^{[3
]}

机构：

[1] Univ Avignon & Pays Vaucluse, Lab Anal Non Lineaire & Geometrie, F-84018 Avignon, France

[2] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

[3] Univ Luxembourg, Math Res Unit, L-1359 Luxembourg, Luxembourg

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2014年 / 327卷 / 03期

关键词：

POINT PARTICLES; CONE-MANIFOLDS; RIGIDITY;

D O I：

10.1007/s00220-014-2020-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate globally hyperbolic 3-dimensional AdS manifolds containing "particles", i.e., cone singularities of angles less than 2 pi along a time-like graph I". To each such space (equipped with a time-like vector field satisfying some additional properties) we associate a graph and a finite family of pairs of hyperbolic surfaces with cone singularities. We show that this data is sufficient to recover the space locally (i.e., in the neighborhood of a fixed metric). This is a partial extension of a result of Mess for non-singular globally hyperbolic AdS manifolds.

引用

页码：691 / 735

页数：45

共 20 条

[1] Notes on a paper of Mess [J].