论文标题
二次引力的纽曼 - 芬罗形式主义
The Newman-Penrose formalism in quadratic gravity
论文作者
论文摘要
二次重力限制是根据纽曼 - 荷兰样量重新制定的。在这样的框架语言中，字段方程代表了RICCI张量组件的线性代数系统。原则上，可以与一般相对性相似的方式应用RICCI组件与标准几何身份的组合的程序。这些结果可以在随后的各种分析和对二次重力解决方案的物理解释中。在这里，我们通过明确证明在特定代数类型的曲率张量的假设下限制了时空几何形状的一般命题，从而证明了这种方法的实用性。
The quadratic gravity constraints are reformulated in terms of the Newman-Penrose-like quantities. In such a frame language, the field equations represent a linear algebraic system for the Ricci tensor components. In principle, a procedure for the combination of the Ricci components with standard geometric identities can be applied in a similar way as in the case of general relativity. These results could serve in various subsequent analyses and physical interpretations of admitted solutions to quadratic gravity. Here, we demonstrate the utility of such an approach by explicitly proving general propositions restricting the spacetime geometry under assumptions on a specific algebraic type of curvature tensors.
