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本文给出了真空爱因斯坦方程的一组严格的孤立波解,证明了存在一种处处正则,稳定而不扩散且以光速传播的引力波,并对它们的奇异性和能量分布问题进行了讨论。A system of exact gravitational soliton solutions of Einstein's equations in vacuum is obtained. It is shown that gravitational solitons exist, which are regular everywhere, nondispersive and stable, popagating with constant velocity. Finally, The singularity and energy density of these gravitational solitons are also discussed.
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