Nonexistence of multiple black holes in static space-times and weakly harmonic curvature

DOI10.1007/s10714-016-2112-8zbMath1387.53060OpenAlexW2508016941WikidataQ125116543 ScholiaQ125116543MaRDI QIDQ682397

Seungsu Hwang, Gabjin Yun, Jeongwook Chang

Publication date: 2 February 2018

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10714-016-2112-8

zbMATH Keywords

black holeEinstein equationharmonic curvaturestatic vacuum space-time

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items (9)

Vacuum static spaces with vanishing of complete divergence of Weyl tensor ⋮ Volume growth for geodesic balls of static vacuum space on 3-manifolds ⋮ On the geometry of Einstein-type manifolds with some structural conditions ⋮ Invariant solutions for the static vacuum equation ⋮ Some characterizations of compact Einstein-type manifolds ⋮ Einstein-type metrics on almost Kenmotsu manifolds ⋮ Vanishing conditions on Weyl tensor for Einstein-type manifolds ⋮ On Einstein-type contact metric manifolds ⋮ Reduction of the \(n\)-dimensional static vacuum Einstein equation and generalized Schwarzschild solutions

Cites Work

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• Total scalar curvature and harmonic curvature
• On compact Riemannian manifolds with harmonic curvature
• Einstein-like manifolds which are not Einstein
• Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
• Scalar curvature, metric degenerations and the static vacuum Einstein equations on 3-manifolds. I
• Uniqueness and Nonuniqueness of Static Black Holes in Higher Dimensions
• Black hole uniqueness theorems in higher dimensional spacetimes
• The asymptotic of static isolated systems and a generalized uniqueness for Schwarzschild
• Morse Theory. (AM-51)
• Black Hole Uniqueness Theorems
• Riemannian metrics with harmonic curvature on 2-sphere bundles over compact surfaces
• Geometric Analysis
• On the structure of solutions to the static vacuum Einstein equations

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