The Vaidya–Bonner metric is a non-static generalization of Reissner–Nordström metric and this paper deals with the investigation of the curvature restricted geometric properties of such a metric. The scalar curvature vanishes and several pseudosymmetric-type curvature conditions are fulfilled by this metric. Also, it is a 2-quasi-Einstein, Ein(3) and generalized Roter type manifold. As a special case, the curvature properties of Reissner–Nordström metric are obtained. It is noted that Vaidya–Bonner metric admits several generalized geometric structures in comparison to Reissner–Nordström metric and Vaidya metric.

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关于 Vaidya-Bonner 度量的一些曲率性质

Vaidya-Bonner 度量是 Reissner-Nordström 度量的非静态推广，本文研究了这种度量的曲率限制几何特性。标量曲率消失，并且该度量满足了几个伪对称型曲率条件。此外，它是一个2-准爱因斯坦，恩(3)和广义Roter型歧管。作为一种特殊情况，获得了 Reissner–Nordström 度量的曲率性质。值得注意的是，与 Reissner-Nordström 度量和 Vaidya 度量相比，Vaidya-Bonner 度量承认了几种广义几何结构。