Constant-mean-curvature slicing of the Schwarzschild-de Sitter space-time

Ken Ichi Nakao; Kei Ichi Maeda; Takashi Nakamura; Ken Ichi Oohara

doi:10.1103/PhysRevD.44.1326

Constant-mean-curvature slicing of the Schwarzschild-de Sitter space-time

Ken Ichi Nakao, Kei Ichi Maeda, Takashi Nakamura, Ken Ichi Oohara

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

We investigate how the constant-mean-curvature hypersurfaces foliate Schwarzschild-de Sitter space-time in the Kruskal diagram. In contrast with those in asymptotic flat spherically symmetric space-time, there are two kinds of limit radii on which the spacelike hypersurfaces cease from their time evolution.

Original language	English
Pages (from-to)	1326-1329
Number of pages	4
Journal	Physical Review D
Volume	44
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevD.44.1326
Publication status	Published - 1991

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.44.1326

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title = "Constant-mean-curvature slicing of the Schwarzschild-de Sitter space-time",

abstract = "We investigate how the constant-mean-curvature hypersurfaces foliate Schwarzschild-de Sitter space-time in the Kruskal diagram. In contrast with those in asymptotic flat spherically symmetric space-time, there are two kinds of limit radii on which the spacelike hypersurfaces cease from their time evolution.",

author = "Nakao, {Ken Ichi} and Maeda, {Kei Ichi} and Takashi Nakamura and Oohara, {Ken Ichi}",

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AU - Maeda, Kei Ichi

AU - Nakamura, Takashi

AU - Oohara, Ken Ichi

PY - 1991

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AB - We investigate how the constant-mean-curvature hypersurfaces foliate Schwarzschild-de Sitter space-time in the Kruskal diagram. In contrast with those in asymptotic flat spherically symmetric space-time, there are two kinds of limit radii on which the spacelike hypersurfaces cease from their time evolution.

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Constant-mean-curvature slicing of the Schwarzschild-de Sitter space-time

Abstract

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