中国物理B ›› 1997, Vol. 6 ›› Issue (11): 822-828.doi: 10.1088/1004-423X/6/11/003

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A GROUP OF EXACT (3+1) DIMENSIONAL CYLINDRICALLY SYMMETRIC WAVE SOLUTIONS TO THE EINSTEIN GRAVITATIONAL FIELD EQUATION

区智1, 唐孟希2   

  1. (1)Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong; (2)Department of Physics, Zhongshan University, Guangzhou 510275, China
  • 收稿日期:1997-01-14 出版日期:1997-11-20 发布日期:1997-11-20
  • 基金资助:
    Project supported partly by the National Natural Science Foundation of China.

A GROUP OF EXACT (3+1) DIMENSIONAL CYLINDRICALLY SYMMETRIC WAVE SOLUTIONS TO THE EINSTEIN GRAVITATIONAL FIELD EQUATION

TANG MENG-XI (唐孟希)a, AU CHI (区智)b   

  1. a Department of Physics, Zhongshan University, Guangzhou 510275, China; b Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong
  • Received:1997-01-14 Online:1997-11-20 Published:1997-11-20
  • Supported by:
    Project supported partly by the National Natural Science Foundation of China.

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摘要： Starting with the diagonal spacetime metric tensor, the Einstein gravitational field equation is solved, and a set of exact (3+1) dimensional cylindrically symmetric wave solutions with two arbitrary functions are found. In these solutions all nonvanishing components of spacetime metric tensor are varying with the same propagating factor (ct-z) while the waves are travelling along z axis. The physical picture and the condition of positive energy density of the wave solutions are discussed.

Abstract: Starting with the diagonal spacetime metric tensor, the Einstein gravitational field equation is solved, and a set of exact (3+1) dimensional cylindrically symmetric wave solutions with two arbitrary functions are found. In these solutions all nonvanishing components of spacetime metric tensor are varying with the same propagating factor (ct-z) while the waves are travelling along z axis. The physical picture and the condition of positive energy density of the wave solutions are discussed.

中图分类号:  (Exact solutions)

  • 04.20.Jb
02.40.-k (Geometry, differential geometry, and topology) 04.50.-h (Higher-dimensional gravity and other theories of gravity) 02.10.Ud (Linear algebra)