Mad Families, Forcing and Combinatorial Principles in Topology
Time series, wavelets, high dimensional data and applications
Algebraic and topological properties of the braid groups of the real projective pl...
| Full text | |
| Author(s): |
Corral, Cristobal
;
Flores-Alfonso, Daniel
;
Giribet, Gaston
;
Oliva, Julio
Total Authors: 4
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW D; v. 106, n. 8, p. 9-pg., 2022-10-28. |
| Abstract | |
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) | |
| FAPESP's process: | 19/13231-7 - Chile - São Paulo network on holography |
| Grantee: | Horatiu Stefan Nastase |
| Support Opportunities: | Regular Research Grants |