Transformations of strongly causal space-times preserving null geodesics

被引：5

作者：

Huang, WL ^{[1
]}

机构：

[1] Univ Hamburg, D-20146 Hamburg, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 03期

关键词：

D O I：

10.1063/1.532304

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let (M,g) be a strongly causal space-time, dimM greater than or equal to 3. Let f:M-->M be a bijection such that images and pre-images of null geodesics (as point sets) are null geodesics. Then f is a conformal transformation. (C) 1998 American Institute of Physics.

引用

页码：1637 / 1641

页数：5

共 12 条

[1] A CONTRIBUTION TO CHRONOGEOMETRY [J].

ALEXANDR.AD .

CANADIAN JOURNAL OF MATHEMATICS, 1967, 19 (06) :1119-&

[2]

Hawking S. W., 1973, The Large Scale Structure of Space-Time

[3] NEW TOPOLOGY FOR CURVED SPACE-TIME WHICH INCORPORATES CAUSAL, DIFFERENTIAL, AND CONFORMAL STRUCTURES [J].

HAWKING, SW ;

KING, AR ;

MCCARTHY, PJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (02) :174-181

[4]

HUANG WI, 1996, HAMBURGER BEITRAGE M, P46

[5]

Kobayashi S., 1969, FDN DIFFERENTIAL GEO, V1

[6]

Kobayashi S., 1963, Foundations of Differential Geometry, VI

[7] SEPARATION-PRESERVING TRANSFORMATIONS OF DE-SITTER SPACETIME [J].

LESTER, JA .

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1983, 53 :217-224

[8]

LESTER JA, 1982, CR ACAD SCI I-MATH, V4, P175

[9]

PEKESKA J, 1984, AEQUATIONES MATH, V27, P20

[10]

Sachs R. K., 1977, GEN RELATIVITY MATH, V48

← 1 2 →