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A NEW CLASS OF SOLUTIONS OF VACUUM EINSTEIN'S FIELD EQUATIONS WITHCOSMOLOGICAL CONSTANT
Ming Shen,Qiaorong Zhuang
(College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China)
DOI:
Abstract:
In this paper, a new class of solutions of the vacuum Einstein's field equations with cosmological constant is obtained. This class of solutions possesses the naked physical singularity. The norm of the Riemann curvature tensor of this class of solutions takes infinity at some points and the solutions do not have any event horizon around the singularity.
Key words:  vacuum Einstein's field equations; cosmological constant; exact solutions; naked physical singularity