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
a Department of Physics, Zhongshan University, Guangzhou 510275, China; b Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong
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.
Received: 14 January 1997
Accepted manuscript online:
Fund: Project supported partly by the National Natural Science Foundation of China.
Cite this article:
TANG MENG-XI (唐孟希), AU CHI (区智) A GROUP OF EXACT (3+1) DIMENSIONAL CYLINDRICALLY SYMMETRIC WAVE SOLUTIONS TO THE EINSTEIN GRAVITATIONAL FIELD EQUATION 1997 Acta Physica Sinica (Overseas Edition) 6 822
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