中国物理B ›› 1992, Vol. 1 ›› Issue (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

梁灿彬1, 商聿明2   

  1. (1)Department of Physics, Beijing Normal University, Beijing 100875, China; (2)Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 收稿日期:1991-12-04 出版日期:1992-03-20 发布日期:1992-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

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   

  1. a Department of Physics, Beijing Normal University, Beijing 100875, China; b Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:1991-12-04 Online:1992-03-20 Published:1992-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： 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.

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.

中图分类号:  (Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)

  • 04.40.Nr
02.40.-k (Geometry, differential geometry, and topology) 11.25.-w (Strings and branes) 11.30.Pb (Supersymmetry)