论文标题
Eguchi-Hanson空间的高曲率概括
Higher-curvature generalization of Eguchi-Hanson spaces
论文作者
论文摘要
在存在较高曲线的一般相对性变形的情况下，我们构建了Eguchi-Hanson重力插入的高维概括。 These spaces are solutions to Einstein gravity supplemented with the dimensional extension of the quadratic Chern-Gauss-Bonnet invariant in arbitrary even dimension $D=2m\geq 4$, and they are constructed out of non-trivial fibrations over $(2m-2)$-dimensional Kähler-Einstein manifolds.分析了这些解决方案的不同方面；其中，通过添加拓扑不变式来使壳上欧几里得的正规化。我们还考虑了对重力作用的更高透明度的校正，这些重力作用是在riemann张量中是立方体的，并明确构建了Eguchi-Hanson型溶液。
We construct higher-dimensional generalizations of the Eguchi-Hanson gravitational instanton in the presence of higher-curvature deformations of general relativity. These spaces are solutions to Einstein gravity supplemented with the dimensional extension of the quadratic Chern-Gauss-Bonnet invariant in arbitrary even dimension $D=2m\geq 4$, and they are constructed out of non-trivial fibrations over $(2m-2)$-dimensional Kähler-Einstein manifolds. Different aspects of these solutions are analyzed; among them, the regularization of the on-shell Euclidean action by means of the addition of topological invariants. We also consider higher-curvature corrections to the gravity action that are cubic in the Riemann tensor and explicitly construct Eguchi-Hanson type solutions for such.
