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Black hole initial data from a non-conformal decomposition

Nigel T. Bishop·Florian Beyer·Michael Koppitz
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Abstract

We present an alternative approach to setting initial data in general relativity. We do not use a conformal decomposition, but instead express the 3-metric in terms of a given unit vector field and one unknown scalar field. In the case of axisymmetry, we have written a program to solve the resulting nonlinear elliptic equation. We have obtained solutions, both numerically and from a linearized analytic method, for a general perturbation of Schwarzschild.

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Nigel T. Bishop, Florian Beyer, Michael Koppitz. 2004-04-16. Black hole initial data from a non-conformal decomposition. https://doi.org/10.1103/physrevd.69.064010

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