CLASSIFICATION OF AN INFINITE SERIES OF STATIC SOLUTIONS TO THE VACUUM EINSTEIN EQUATIONS

被引：5

作者：

AZUMA, T ^{[1
]}

KOIKAWA, T ^{[1
]}

机构：

[1] TOKYO METROPOLITAN UNIV,DEPT PHYS,HACHIOJI,TOKYO 19203,JAPAN

来源：

GENERAL RELATIVITY AND GRAVITATION | 1992年 / 24卷 / 12期

关键词：

D O I：

10.1007/BF02418210

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We propose a classification of an infinite series of the static solutions to the vacuum Einstein equation by means of their soliton number and the real and/or complex pole trajectories. We also show that in the 4-soliton solution there appears an intriguing ring solution of which the curvature invariant has a finite limit at the rings.

引用

页码：1223 / 1234

页数：12

共 9 条

[1]

ALEKSEEV GA, 1980, ZH EKSP TEOR FIZ+, V78, P1297

[2] AXIALLY-SYMMETRIC SOLUTION OF THE EINSTEIN EQUATION WITH SOLITONS IN EXTRA DIMENSIONS [J].

AZUMA, T ;

ENDO, M ;

KOIKAWA, T .

PHYSICS LETTERS A, 1989, 136 (06) :269-273

[3] BLACK-HOLES WITH RINGS [J].

AZUMA, T ;

KOIKAWA, T .

PHYSICS LETTERS A, 1992, 162 (05) :365-369

[4]

AZUMA T, 1992, OTSUMAHEP9201 OTS WO

[5]

BELINSKII VA, 1978, ZH EKSP TEOR FIZ, V75, P1955

[6]

BELINSKY VA, 1979, ZH EKSP TEOR FIZ+, V77, P3

[7] NEW EXACT SOLUTION FOR GRAVITATIONAL-FIELD OF A SPINNING MASS [J].

TOMIMATSU, A ;

SATO, H .

PHYSICAL REVIEW LETTERS, 1972, 29 (19) :1344-+

[8] NEW SERIES OF EXACT SOLUTIONS FOR GRAVITATIONAL-FIELDS OF SPINNING MASSES [J].

TOMIMATSU, A ;

SATO, H .

PROGRESS OF THEORETICAL PHYSICS, 1973, 50 (01) :95-110

[9] STATIC AXIALLY SYMMETRIC GRAVITATIONAL FIELDS [J].

VOORHEES, BH .

PHYSICAL REVIEW D, 1970, 2 (10) :2119-&

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