Higher-curvature generalization of Eguchi-Hanson spaces
arXiv:2207.04014 · doi:10.1103/PhysRevD.106.084055
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 , and they are constructed out of non-trivial fibrations over -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.
arXiv commentv1: 17 pages; v2: Comments added, 18 pages, matches published version in Physical Review D
References in corpus (42)
- Gauss-Bonnet Black Holes in AdS Spaces
- Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
- Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
- Conserved charges for gravity with locally AdS asymptotics
- Gauss-Bonnet Black Holes in dS Spaces
- Static wormhole solution for higher-dimensional gravity in vacuum
- Gravitational Entropy and Global Structure
- On Gauss-Bonnet black hole entropy
- Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
- Topological regularization and self-duality in four-dimensional anti-de Sitter gravity
- Conserved Charges for Even Dimensional Asymptotically AdS Gravity Theories
- Regularization of odd-dimensional AdS gravity: Kounterterms
- Thermodynamics of Asymptotically Flat Charged Black Holes in Third Order Lovelock Gravity
- Finite action principle for Chern-Simons AdS gravity
- Kaluza-Klein Consistency, Killing Vectors, and Kahler Spaces
- Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
- (Anti-) de Sitter Black Holes in higher derivative gravity and dual Conformal Field Theories
- Obstructions on the horizon geometry from string theory corrections to Einstein gravity
- Thermodynamic Volumes for AdS-Taub-NUT and AdS-Taub-Bolt
- The Extended Thermodynamic Phase Structure of Taub-NUT and Taub-Bolt
- Taub-NUT Black Holes in Third order Lovelock Gravity
- NUTs and bolts beyond Lovelock
- Counterterms, Kounterterms, and the variational problem in AdS gravity
- Topological Terms and the Misner String Entropy
- Soliton Solutions to the Einstein Equations in Five Dimensions
- Eguchi-Hanson Solitons in Odd Dimensions
- Magnetic Mass in 4D AdS Gravity
- Topological black holes in pure Gauss-Bonnet gravity and phase transitions
- Generalized phase transitions in Lovelock gravity
- Einstein Gravity from Conformal Gravity in 6D
- Eguchi-Hanson like space-times in F(R) gravity
- The Hawking-Page phase transitions in the extended phase space in the Gauss-Bonnet gravity
- Ricci-flat Kahler Manifolds from Supersymmetric Gauge Theories
- Gauge Theoretical Construction of Non-compact Calabi-Yau Manifolds
- Calabi-Yau Manifolds of Cohomogeneity One as Complex Line Bundles
- Mass in Lovelock Unique Vacuum gravity theories
- Noether-Wald charges in six-dimensional Critical Gravity
- Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples
- Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
- Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials
- Metrics of Eguchi-Hanson types with the negative constant scalar curvature
- Five-Dimensional Eguchi-Hanson Solitons in Einstein-Gauss-Bonnet Gravity
Cited by in corpus (6)
- Phase Transitions and Stability of Eguchi-Hanson-AdS Solitons
- Holographic explorations of regular black holes in pure gravity
- Axial anomaly in nonlinear conformal electrodynamics
- Euclidean AdS wormholes and gravitational instantons in the Einstein-Skyrme theory
- Inhomogeneous metrics on complex bundles in Lovelock gravity
- Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields