Metrics of Eguchi-Hanson types with the negative constant scalar curvature

Abstract

We construct two types of Eguchi-Hanson metrics with the negative constant scalar curvature. The type I metrics are Kähler. The type II metrics are ALH whose total energy can be negative.

14 pages

References in corpus (1)

• Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times

Cited by in corpus (6)

• Gravitational instantons with conformally coupled scalar fields
• Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
• Higher-curvature generalization of Eguchi-Hanson spaces
• Metrics of Horowitz-Myers type with the negative constant scalar curvature
• Self duality in unconventional conformal supersymmetry
• Hyperbolic positive energy theorems