This book chapter gives an introductory review of a numerical framework for finding static and stationary vacuum black hole solutions.
Reading the bibliography…
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Burkhard Kleihaus and Jutta Kunz · 2001
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Harmonic coordinate method for simulating generic singularities
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Models of differentially rotating stars
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Static axisymmetric vacuum solutions and non-uniform black strings
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A boundary value problem for the five-dimensional stationary rotating black holes
Yoshiyuki Morisawa and Daisuke Ida · 2004
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Stationary and axisymmetric solutions of higher- dimensional general relativity
Troels Harmark · 2004
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Numerical Ricci-flat metrics on K3
Matthew Headrick and Toby Wiseman · 2005
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Some numerical results in complex differential geometry
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Lectures on the Ricci flow
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Ricci flow and black holes
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Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic
Michael R. Douglas, Robert L. Karp, Sergio Lukic, and Rene Reinbacher · 2007
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A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
Stefan Hollands, Akihiro Ishibashi, and Robert M. Wald · 2007
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Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
Stefan Hollands and Stoytcho Yazadjiev · 2008
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On boundary value problems for Einstein metrics
Michael T. Anderson · 2008
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Energy functionals for Calabi-Yau metrics
Matthew Headrick and Ali Nassar · 2009
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Domain Structure of Black Hole Space-Times
Troels Harmark · 2009
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Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
Luis Lehner and Frans Pretorius · 2010
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A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
Matthew Headrick, Sam Kitchen, and Toby Wiseman · 2010
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An instability of higher-dimensional rotating black holes
Oscar J. C. Dias, Pau Figueras, Ricardo Monteiro, Harvey S. Reall, and Jorge E. Santos · 2010
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Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua
Pau Figueras, James Lucietti, and Toby Wiseman · 2011
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A numerical approach to finding general stationary vacuum black holes
Alexander Adam, Sam Kitchen, and Toby Wiseman · 2011
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