Higher-curvature generalization of Eguchi-Hanson spaces

Autor(es)

Corral, Cristobal ; Flores-Alfonso, Daniel ; Giribet, Gaston ; Oliva, Julio

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW D; v. 106, n. 8, p. 9-pg., 2022-10-28.

Resumo

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 >= 4, and they are constructed out of nontrivial fibrations over (2m - 2) -dimensional Kahler-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. (AU)

• Processo FAPESP: 19/13231-7 - Rede Chile - São Paulo de holografia
• Beneficiário: Horatiu Stefan Nastase
• Modalidade de apoio: Auxílio à Pesquisa - Regular