Conformally flat black hole initial data, with one cylindrical end

Gabach Clement, Maria E.

doi:10.1088/0264-9381/27/12/125010

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Conformally flat black hole initial data, with one cylindrical end

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Gabach Clement, Maria E.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0911.0258
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Gabach Clement, M. E. (2010). Conformally flat black hole initial data, with one cylindrical end. Classical and quantum gravity, 27(12): 125010. doi:10.1088/0264-9381/27/12/125010.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-B16B-F

Abstract

We give a complete analytical proof of existence and uniqueness of extreme-like black hole initial data for Einstein equations, which possess a cilindrical end, analogous to extreme Kerr, extreme Reissner Nordstrom, and extreme Bowen-York's initial data. This extends and refines a previous result \cite{dain-gabach09} to a general case of conformally flat, maximal initial data with angular momentum, linear momentum and matter.