Obstructions to the existence of trapped submanifolds in relativistic spacetimes

被引：0
|
作者：
de la Fuente, Daniel [1 ]
Rubio, Rafael M. [2 ]
Salamanca, Juan J. [3 ]
机构：
[1] Univ Oviedo, Dept Matemat, Escuela Politecn Ingn, Gijon 33003, Spain
[2] Univ Cordoba, Fac Ciencias, Dept Matemat, Cordoba 14071, Spain
[3] Univ Oviedo, Dept Estadist, Escuela Politecn Ingn, Gijon 33003, Spain
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 10期
关键词：
GRAVITATIONAL COLLAPSE; CAUCHY HYPERSURFACES; SURFACES;
D O I：
10.1063/5.0164715
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Obstructions to the existence of trapped submanifolds in spacetimes of arbitrary dimension are given. These obstructions are obtained under natural geometric assumptions, which can be applied to initial data set for Einstein equations, assuring the absence of trapped submanifolds in its development. We highlight that for several of our results the existence of symmetries in the spacetime is not necessary.
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页数：6
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