EQUILIBRIUM CONDITION IN THE AXISYMMETRICAL N-REISSNER-NORDSTROM SOLUTION

被引:18
作者
AZUMA, T [1 ]
KOIKAWA, T [1 ]
机构
[1] OTSUMA WOMENS UNIV,SCH SOC INFORMAT STUDIES,TAMA 206,JAPAN
来源
PROGRESS OF THEORETICAL PHYSICS | 1994年 / 92卷 / 06期
关键词
D O I
10.1143/PTP.92.1095
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We solve the source-free Einstein-Maxwell equations in a static and axisymmetric spacetime by using the inverse scattering method that is one of the soliton techniques to solve the gravitational field equation. We obtain an exact solution that describes n Reissner-Nordstrom black holes located along the symmetry axis. We define the mass and charge of each black hole and study the condition for static equilibrium of black holes. We show that the equilibrium is realized only when all the black holes are extremal and the spacetime becomes Majumdar-Papapetrou type.
引用
收藏
页码:1095 / 1104
页数:10
相关论文
共 9 条
[1]  
ALEKSEEV GA, 1980, SOV PHYS JETP, V51, P655
[2]   MULTI-WEYL SOLUTIONS TO THE EINSTEIN EQUATION COUPLED WITH SCALAR FIELD [J].
AZUMA, T ;
KOIKAWA, T .
PROGRESS OF THEORETICAL PHYSICS, 1993, 90 (05) :991-999
[3]  
Carter B., 1979, General relativity. An Einstein centenary survey, P294
[5]   LINE SOURCES IN GENERAL RELATIVITY [J].
ISRAEL, W .
PHYSICAL REVIEW D, 1977, 15 (04) :935-941
[6]   A CLASS OF EXACT SOLUTIONS OF EINSTEIN FIELD EQUATIONS [J].
MAJUMDAR, SD .
PHYSICAL REVIEW, 1947, 72 (05) :390-398
[7]   STATIC BALANCE OF 2 CHARGED-PARTICLES IN GENERAL-RELATIVITY [J].
OHTA, T ;
KIMURA, T .
PROGRESS OF THEORETICAL PHYSICS, 1982, 68 (04) :1175-1195
[8]  
Papapetrou A., 1945, P ROYAL IRISH ACAD, V51, P191
[9]   CONDITION FOR EQUILIBRIUM OF 2 REISSNER-NORDSTROM BLACK-HOLES [J].
TOMIMATSU, A .
PROGRESS OF THEORETICAL PHYSICS, 1984, 71 (02) :409-412