The positive mass and isoperimetric inequalities for axisymmetric black holes in four and five dimensions

DOI10.1088/0264-9381/23/22/022zbMath1111.83029arXivgr-qc/0606116OpenAlexW1981364963MaRDI QIDQ3418950

Gustav Holzegel, Gary W. Gibbons

Publication date: 5 February 2007

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0606116

zbMATH Keywords

Riemannian Penrose inequalityNumerical relativity4+1 dimensions3+1 dimensionsBrill's formula

Mathematics Subject Classification ID

Black holes (83C57) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (9)

On \(3 + 1\) Lorentzian Einstein manifolds with one rotational isometry ⋮ THE INEQUALITY BETWEEN MASS AND ANGULAR MOMENTUM FOR AXIALLY SYMMETRIC BLACK HOLES ⋮ Mass and angular-momentum inequalities for axi-symmetric initial data sets I: Positivity of mass ⋮ Mass and angular-momentum inequalities for axi-symmetric initial data sets. II: Angular momentum ⋮ Quasi-local energy-momentum and angular momentum in general relativity ⋮ Remarks on mass and angular momenta for U(1)2-invariant initial data ⋮ Stability of the positive mass theorem for axisymmetric manifolds ⋮ A Penrose-type inequality with angular momentum and charge for axisymmetric initial data ⋮ Observations on holographic aspects of four-dimensional asymptotically flat \(\mathcal{N} = 2\) black holes

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