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)
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