Note on reflection symmetry in stationary axisymmetric electrovacuum spacetimes

被引:11
|
作者
Pachon, Leonardo A. [1 ]
Sanabria-Gomez, Jose D.
机构
[1] Univ Zulia, Lab Astron & Fis Teor, Dept Fis, Fac Ciencias, Maracaibo 4004, Venezuela
[2] Univ Ind Santander, Escuela Fis, Bucaramanga, Colombia
关键词
D O I
10.1088/0264-9381/23/9/N01
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Recently, Kordas (1995 Class. Quantum Grav. 12 2037) and Meinel and Neugebauer (1995 Class. Quantum Grav. 12 2045) studied the conditions for reflection symmetry in stationary axisymmetric spacetimes in vacuum. They found that a solution to the Einstein field equations is reflectionally symmetric if their Ernst potential epsilon (rho = 0, z) = e(z) on a portion of the positive z- axis extending to infinity satisfies the condition e(+)(z) e(+)(*)(-z) = 1. In this note, we formulate analogous conditions for two complex Ernst potentials in electrovacuum. We also present the special case of rational axis potentials.
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页码:3251 / 3254
页数:4
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