论文标题
Bardeen黑洞时空的曲率特性
Curvature properties of Bardeen black hole spacetime
论文作者
论文摘要
与宇宙常数的爱因斯坦场方程相对应的Bardeen溶液是常规的黑洞。该手稿的主要目标是根据该时空所接受的曲率条件研究几何结构。发现该时空是假时对称性的，并且具有几种伪对称性。同样，它是假性对称Weyl曲率的一系列歧管，差张量C.R-R.C线性地取决于张量q（g; c）和q（s; c）。有趣的是，这种时空是弱概括的复发歧管，并满足了特殊的重复类似结构。此外，它是2级和圆形类型的爱因斯坦歧管。该时空的能量动量张量是假对称性的，最后给出了Bardeen时空的几何特性和Reissner-Nordström时空的值得比较。
The Bardeen solution corresponding to Einstein field equations with a cosmological constant is a regular black hole. The main goal of this manuscript is to investigate the geometric structures in terms of curvature conditions admitted by this spacetime. It is found that this spacetime is pseudosymmetric and possess several kinds of pseudosymmetries. Also, it is a manifold of pseudosymmetry Weyl curvature and the difference tensor C.R-R.C linearly depends on the tensors Q(g;C) and Q(S;C). It is interesting to note that such a spacetime is weakly generalized recurrent manifold and satisfies special recurrent like structure. Further, it is an Einstein manifold of level 2 and Roter type. The energy momentum tensor of this spacetime is pseudosymmetric and finally a worthy comparison between the geometric properties of Bardeen spacetime and Reissner-Nordström spacetime is given.
