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arXiv · 1510.02079

Extremal black hole initial data deformations

Andrés Aceña·María E. Gabach Clément
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Abstract

We study deformations of axially symmetric initial data for Einstein-Maxwell equations satisfying the time-rotation ($t$-$\phi$) symmetry and containing one asymptotically cylindrical end and one asymptotically flat end. We find that the $t$-$\phi$ symmetry implies the existence of a family of deformed data having the same horizon structure. This result allows us to measure how close solutions to Lichnerowicz equation are when arising from nearby free data.

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Andrés Aceña, María E. Gabach Clément. 2015-10-07. Extremal black hole initial data deformations. https://doi.org/10.1088/0264-9381%2F33%2F11%2F115017

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