Flat foliation of the Schwarzschild-anti-de Sitter metric

被引：0

作者：

Haidar, Farrukh ^{[1
]}

Siddiqui, Azad A. ^{[2
]}

机构：

[1] Natl Univ Sci & Technol, Sch Nat Sci, Dept Math, Islamabad, Pakistan

[2] Natl Univ Sci & Technol, Sch Elect Engn & Comp Sci, Islamabad, Pakistan

来源：

PHYSICA SCRIPTA | 2023年 / 98卷 / 12期

关键词：

foliation; flat hypersurfaces; Schwarzschild anti de Sitter metric; BLACK-HOLE; HYPERSURFACES;

D O I：

10.1088/1402-4896/ad0759

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Hypersurfaces used to specify a foliation are required to satisfy some geometric property. This restriction provides a way to derive a differential equation satisfied by those hypersurfaces. In this paper, a complete foliation of the Schwarzschild-anti-de Sitter spacetime by flat spacelike hypersurfaces is provided. A simple procedure based on the fact that geodesics are orthogonal to such hypersurfaces is adopted. There is a barrier found for the hypersurfaces to reach r = infinity . The Schwarzschild-anti-de Sitter geometry is completely foliated by the analytic continuation of the hypersurfaces beyond the barrier.

引用

页数：6

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