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Acta Physica Sinica (Overseas Edition), 1992, Vol. 1(3): 161-166    DOI: 10.1088/1004-423X/1/3/001
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PLANE SYMMETRIC GENERAL SOLUTION TO EINSTEIN-MAXWELL EQUATIONS IN HIGHER DIMENSIONS

LIANG CAN-BIN (梁灿彬)a, SHANG YU-MING (商聿明)b
a Department of Physics, Beijing Normal University, Beijing 100875, China; b Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract  The plane symmetric general solution to the Einstein-Maxwell equations in D =n+2 dimensions is presented. In addition to the n(n+1)/2 spacelike Killing vector fields characterizing the higher dimensional plane symmetry, there is also an extra Killing vector field in the solution, suggesting that the generalized Birkhoff theorem proved for 4-dimensional spacetimes might also be valid in higher dimensions.
Received:  04 December 1991      Accepted manuscript online: 
PACS:  04.40.Nr (Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)  
  02.40.-k (Geometry, differential geometry, and topology)  
  11.25.-w (Strings and branes)  
  11.30.Pb (Supersymmetry)  
Fund: Project supported by the National Natural Science Foundation of China.

Cite this article: 

LIANG CAN-BIN (梁灿彬), SHANG YU-MING (商聿明) PLANE SYMMETRIC GENERAL SOLUTION TO EINSTEIN-MAXWELL EQUATIONS IN HIGHER DIMENSIONS 1992 Acta Physica Sinica (Overseas Edition) 1 161

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