引力能量局域化条件与Bondi平面波

本文用两类能量动量表达式计算了Bondi 平面波的引力辐射.第一类不附加能量局域化条件的能量动量表达式给出恒正的辐射功率,这一结果与Bondi 的平面引力波载有能量的结论一致.然而,由满足能量局域条件的第二类能量动量膺张量导出的结果都不能保证辐射功率恒正,且与Bondi 的结论不符.此外,还指出能量局域化条件本身与等价原理仍然是不相容的.最后还讨论了两类表达式的合理性.

Condition of Localizability of Gravitatonal Energy and Bondi Plane Wave

In this paper,two kinds of energy-momentum expression are usedto calculate the gravitational radiation of Bondi plane waves.The first kindof energy-momentum expression,on which the condition of localization ofthe energy is not imposed,always giving a positive radiated power.Thisresult agrees with Bondi's conclusion that plane wave carries the energy.However,the result derived from the second kind of energy-momentum pseudo-tensor cannot guarantee that the radiated power is always positive and it doesnot coincide with Bondi's conclusion.Besides,it is pointed out in this paperthat the condition of localizability of the energy itself is still not compatiblewith the principle of equivalence.Finally,the rationality of two kinds ofexpression is also discussed.