First order perturbations of hypersurfaces of arbitrary causal character

被引：2

作者：

Nolan, Brien C. ^{[1
]}

Reina, Borja ^{[1
,2
]}

Sousa, Kepa ^{[3
]}

机构：

[1] Dublin City Univ, Ctr Astrophys & Relat, Sch Math Sci, Dublin 9, Ireland

[2] Univ Basque Country, Dept Fis Teor & Hist Ciencia, UPV EHU, Apartado 644, Bilbao 48080, Spain

[3] Univ Autonoma Madrid, Inst Fis Teor, CSIC, E-28049 Madrid, Spain

来源：

CLASSICAL AND QUANTUM GRAVITY | 2019年 / 36卷 / 18期

关键词：

perturbation theory; general hypersurfaces; junction conditions; GENERAL HYPERSURFACES; JUNCTION CONDITIONS; GEOMETRY;

D O I：

10.1088/1361-6382/ab300b

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this work we study the problem of first order perturbations of a general hypersurface, i.e. with arbitrary causal character at each point. We extend the framework by Mars (2005 Class. Quantum Gray. 22 3325-48) where this problem was studied to second order for everywhere timelike or spacelike hypersurfaces, and we adapt it to cover the general case. We apply the formalism to the matching of spacetimes across a general hypersurface to first order in perturbation theory.

引用

页数：42

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