The positive energy conjecture for a class of AHM metrics on \(\mathbb{R}^2 \times\mathbb{T}^{n - 2}\)

DOI10.1007/S11425-021-1995-XzbMath1515.53100arXiv2109.06015WikidataQ122925262 ScholiaQ122925262MaRDI QIDQ6041661

Xiao Zhang, Zhuobin Liang

Publication date: 12 May 2023

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.06015

zbMATH Keywords

positive energy conjectureasymptotically Horowitz-Myers metricsasymptotically local hyperbolic manifolds

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

Cites Work

• On the geometry and mass of static, asymptotically AdS spacetimes, and the uniqueness of the AdS soliton
• The mass of asymptotically hyperbolic manifolds.
• The rigid Horowitz-Myers conjecture
• The mass of asymptotically hyperbolic Riemannian manifolds.
• Metrics of Horowitz–Myers type with the negative constant scalar curvature

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