论文标题
广义形式,指标和RICCI平面四程
Generalized forms, metrics and Ricci flat four-metrics
论文作者
论文摘要
广义差异形式用于公制几何形状和爱因斯坦的真空场方程。 Cartan的结构方程是广义和应用的。特别是平坦的广义连接与任何度量相关联。从新颖的角度考虑了爱因斯坦的真空场方程及其洛伦兹四个金属解决方案。它显示了特定的平坦广义连接和几何形状如何编码这种RICCI平坦指标。
Generalized differential forms are used in discussions of metric geometries and Einstein's vacuum field equations. Cartan's structure equations are generalized and applied. In particular flat generalized connections are associated with any metric. Einstein's vacuum field equations and their Lorentzian four-metric solutions are considered from a novel point of view. It is shown how particular flat generalized connections and geometries can encode such Ricci flat metrics.