Constant Mean Curvature Slices for the Schwarzschild-anti-de Sitter Spacetime

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2024-11-06 DOI:10.1007/s10773-024-05819-0

Farrukh Haidar, Azad A. Siddiqui

引用次数: 0

Abstract

In this paper, slicing of the Schwarzschild-anti-de Sitter metric is discussed by spacelike hypersurfaces of constant mean curvature. For this purpose, the differential equation, satisfied by these hypersurfaces, in compactified Kruskal-Szekeres like coordinates is obtained, and solved numerically. Behavior of these hypersurfaces with respect to different parameters involved, is also discussed.

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施瓦兹希尔德-反-德-西特时空的恒均值曲率切片

本文通过平均曲率恒定的类空间超曲面讨论了施瓦兹希尔德-反-德-西特公设的切分问题。为此，本文获得了这些超曲面在紧凑化 Kruskal-Szekeres 坐标中满足的微分方程，并对其进行了数值求解。此外，还讨论了这些超曲面在涉及不同参数时的行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.