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math.DGJul 31, 2020
10
citations (OpenAlex)
authors
  • Junwen Chen
  • Xiao Zhang
institutions
  • Academy of Mathematics and Systems Science
  • Chinese Academy of Sciences
  • Guangxi University
  • University of Chinese Academy of Sciences
arXiv abstractPDF
paper

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

arXiv:2007.15964 · doi:10.1016/j.geomphys.2020.104010

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.

arXiv comment14 pages

References in corpus (6)

  • Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times
  • Soliton Solutions to the Einstein Equations in Five Dimensions
  • The Einstein-Maxwell Equations and Conformally Kaehler Geometry
  • The positive energy theorem for asymptotically anti-de Sitter spacetimes
  • Global dynamics of asymptotically locally AdS spacetimes with negative mass
  • Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes

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
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