Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (3): 584-592.

• Articles • Previous Articles     Next Articles

A Class of New Solutions to the Einstein's Field Equations

 SHEN Ming, SUN Qing-You   

  1. Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
  • Received:2008-12-08 Revised:2009-11-27 Online:2010-05-25 Published:2010-05-25

Abstract:

In this paper the authors construct a new class of solutions to the vacuum Einstein's field equations, and give two interesting examples
including a time-periodic solution which is related to the loop cosmology. The authors show that this class of soultions are not Minkowski, and essentially differnt from other space-times. One can expect that these solutions can be applied to   modern cosmology and general relativity.

Key words: Einstein’s field equations,  Riemann curvature tensor, Singularity, Time-periodic, Weyl scalar

CLC Number: 

  • 83C
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