SEMIGLOBAL EXISTENCE AND CONVERGENCE OF SOLUTIONS OF THE ROBINSON-TRAUTMAN (2-DIMENSIONAL CALABI) EQUATION

被引：113

作者：

CHRUSCIEL, PT

机构：

[1] Courant Institute, New York University, New York, 10012, NY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 137卷 / 02期

关键词：

D O I：

10.1007/BF02431882

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that for smooth initial data solutions of the Robinson-Trautman equation (also known as the two-dimensional Calabi equation) exist for all positive "times," and asymptotically converge to a constant curvature metric.

引用

页码：289 / 313

页数：25

共 34 条

[1]

AMON S, 1959, PURE APPL MATH, V12, P623

[2]

Aubin T., 1982, NONLINEAR ANAL MANIF, V252

[3]

Calabi E., 1982, SEMINAR DIFFERENTIAL

[4]

CHOW B, UNPUB J DIFF GEOM

[5] A MATHEMATICAL-THEORY OF GRAVITATIONAL COLLAPSE [J].

CHRISTODOULOU, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 109 (04) :613-647

[6] THE STRUCTURE AND UNIQUENESS OF GENERALIZED SOLUTIONS OF THE SPHERICALLY SYMMETRICAL EINSTEIN-SCALAR EQUATIONS [J].

CHRISTODOULOU, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 109 (04) :591-611

[7] THE PROBLEM OF A SELF-GRAVITATING SCALAR FIELD [J].

CHRISTODOULOU, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 105 (03) :337-361

[8]

CHRISTODOULOU D, UNPUB ANN MATH

[9]

CHRISTODOULOU D, 1986, COMMUN MATH PHYS, V106, P387

[10] STRONG COSMIC CENSORSHIP IN POLARIZED GOWDY SPACETIMES [J].

CHRUSCIEL, PT ;

ISENBERG, J ;

MONCRIEF, V .

CLASSICAL AND QUANTUM GRAVITY, 1990, 7 (10) :1671-1680

← 1 2 3 4 →