中国物理B ›› 1997, Vol. 6 ›› Issue (5): 321-333.doi: 10.1088/1004-423X/6/5/001

• GENERAL •    下一篇

POSITIVE DEFINITE PROBLEM OF ENERGY DENSITY AND RADIATIVE ENERGY FLUX FOR PULSE CYLINDRICAL GRAVITATIONAL WAVE

李芳昱1, 唐孟希2   

  1. (1)Department of Physics, Chongqing University, Chongqing 630044, China; (2)Department of Physics, Zhongshan University, Guangzhou 510275, China
  • 收稿日期:1996-06-10 出版日期:1997-05-20 发布日期:1997-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

POSITIVE DEFINITE PROBLEM OF ENERGY DENSITY AND RADIATIVE ENERGY FLUX FOR PULSE CYLINDRICAL GRAVITATIONAL WAVE

LI FANG-YU (李芳昱)a, TANG MENG-XI (唐孟希)b   

  1. a Department of Physics, Chongqing University, Chongqing 630044, China; b Department of Physics, Zhongshan University, Guangzhou 510275, China
  • Received:1996-06-10 Online:1997-05-20 Published:1997-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： By using the general expressions of energy momentum pseudo-tensor of the cylin-drical gravitational waves (GW) given by Rosen and Virbhadra in Cartesian coor-dinates, the concrete forms of energy density and radiative energy flux of the pulse cylindrical GW are obtained. Their physical properties, suitable range and asymp-totic behaviour are considered. It is found that: For the region in which space radial coordinates to origin are greater than the pulse width of the pulse cylindrical GW, the energy density and radiative energy flux of the outward travelling pulse cylindrical GW propagating along at light-cone are positive definite. However, for the region in which the space radial coordinates are less than the pulse width, there is no guarantee for the positive definite property of the radiative energy flux of the outward travelling wave. Moreover, we show that the asymptotic behaviour of the energy and energy flux densities of the pulse cylindrical GW and that of the Riemann curvature tensor have good self-consistancy in space like, time like and null infinity regions.

Abstract: By using the general expressions of energy momentum pseudo-tensor of the cylin-drical gravitational waves (GW) given by Rosen and Virbhadra in Cartesian coor-dinates, the concrete forms of energy density and radiative energy flux of the pulse cylindrical GW are obtained. Their physical properties, suitable range and asymp-totic behaviour are considered. It is found that: For the region in which space radial coordinates to origin are greater than the pulse width of the pulse cylindrical GW, the energy density and radiative energy flux of the outward travelling pulse cylindrical GW propagating along at light-cone are positive definite. However, for the region in which the space radial coordinates are less than the pulse width, there is no guarantee for the positive definite property of the radiative energy flux of the outward travelling wave. Moreover, we show that the asymptotic behaviour of the energy and energy flux densities of the pulse cylindrical GW and that of the Riemann curvature tensor have good self-consistancy in space like, time like and null infinity regions.

中图分类号:  (Gravitational waves)

  • 04.30.-w
04.20.Jb (Exact solutions)