A remark about static space times

被引：17

作者：

Lafontaine, Jacques ^{[1
]}

机构：

[1] Univ Montpellier 2, CNRS, Dept Math, UMR 5149, F-34095 Montpellier 5, France

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2009年 / 59卷 / 01期

关键词：

Scalar curvature;

D O I：

10.1016/j.geomphys.2008.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss a differential equation, whose unknowns are a function and a Riemannian metric. This equation occurs both in general relativity (static space times) and in the study of the space of Riemannian metrics on a manifold (singularities of the map from the space of metrics into the space of functions, which assigns to any metric its scalar curvature). (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：50 / 53

页数：4

共 12 条

[1]

Anderson MT, 2002, J HIGH ENERGY PHYS

[2] ON THE UNIQUENESS OF STATIC PERFECT-FLUID SOLUTIONS IN GENERAL-RELATIVITY [J].

BEIG, R ;

SIMON, W .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 144 (02) :373-390

[3]

Besse A.L., 1987, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3rd series, V10

[4]

Bessieres L., 2000, SEMINAIRE THEORIE SP

[5]

BOURNE GH, 1975, RHESUS MONKEY, V1, P1

[6] DIRECT APPROACH TO DETERMINATION OF GAUSSIAN AND SCALAR CURVATURE FUNCTIONS [J].

KAZDAN, JL ;

WARNER, FW .

INVENTIONES MATHEMATICAE, 1975, 28 (03) :227-230

[7] A DIFFERENTIAL-EQUATION ARISING FROM SCALAR CURVATURE FUNCTION [J].

KOBAYASHI, O .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1982, 34 (04) :665-675

[8]

Kuhnel W., 1988, ASPECTS MATH, VE12, P105

[9]

LAFONTAINE J, 1983, J MATH PURE APPL, V62, P63

[10] BOOST SYMMETRIES IN SPATIALLY COMPACT SPACETIMES WITH A COSMOLOGICAL CONSTANT [J].

MONCRIEF, V .

CLASSICAL AND QUANTUM GRAVITY, 1992, 9 (11) :2515-2520

← 1 2 →