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Journal Article

Black hole initial data from a non-conformal decomposition

MPS-Authors

Bishop,  Nigel T.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Beyer,  Florian
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Koppitz,  Michael
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Bishop, N. T., Beyer, F., & Koppitz, M. (2004). Black hole initial data from a non-conformal decomposition. Physical Review D, 69(6): 064010.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-504E-4
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.