Higher dimensional black hole initial data with prescribed boundary metric

DOI10.4310/MRL.2018.v25.n3.a10zbMath1401.83014arXiv1505.01800WikidataQ129425380 ScholiaQ129425380MaRDI QIDQ1990445

Armando J. Cabrera Pacheco, Pengzi Miao

Publication date: 25 October 2018

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01800

zbMATH Keywords

black holeinitial dataPenrose inequalityADM massboundary metrichigher dimensional analogues

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Space-time singularities, cosmic censorship, etc. (83C75) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items (11)

The general relativistic constraint equations ⋮ Total mean curvature of the boundary and nonnegative scalar curvature fill-ins ⋮ A survey on extensions of Riemannian manifolds and Bartnik mass estimates ⋮ NNSC-cobordism of Bartnik data in high dimensions ⋮ Metrics with \(\lambda_1(-\Delta + k R) \ge 0\) and flexibility in the Riemannian Penrose inequality ⋮ Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass ⋮ A note about isotopy and concordance of positive scalar curvature metrics on compact manifolds with boundary ⋮ On the NNSC fill-ins and asymptotically flat extension ⋮ On the fill-in of nonnegative scalar curvature metrics ⋮ 4-Dimensional manifolds with nonnegative scalar curvature and CMC boundary ⋮ Nonexistence of the NNSC-cobordism of Bartnik data

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