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Time-periodic solutions of the Einstein's field equations Ⅲ:physical singularities 被引量:2

Time-periodic solutions of the Einstein’s field equations Ⅲ:physical singularities
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摘要 In this paper we construct a new time-periodic solution of the vacuum Einstein's field equations, this solution possesses physical singularities, i.e., the norm of the solution's Riemann curvature tensor takes the infinity at some points. We show that this solution is intrinsically time-periodic and describes a time-periodic universe with the "time-periodic physical singularity". By calculating the Weyl scalars of this solution, we investigate new physical phenomena and analyze new singularities for this universal model. In this paper we construct a new time-periodic solution of the vacuum Einstein's field equations, this solution possesses physical singularities, i.e., the norm of the solution's Riemann curvature tensor takes the infinity at some points. We show that this solution is intrinsically time-periodic and describes a time-periodic universe with the "time-periodic physical singularity". By calculating the Weyl scalars of this solution, we investigate new physical phenomena and analyze new singularities for this universal model.
出处 《Science China Mathematics》 SCIE 2011年第1期23-33,共11页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No.10971190) and the Qiu-Shi Professor Fellowship from Zhejiang University,China
关键词 Einstein's field equations time-periodic solution geometric singularity physical singularity Weyl scalar 爱因斯坦场方程 时间周期解 物理现象 奇点 黎曼曲率张量 大肠杆菌 无穷 标量
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参考文献14

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二级参考文献6

  • 1Kong D,Liu K.Time-periodic solutions of the Einstein’s field equations I: general framework[].Sci China Math.
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