Vacuum Rank 1 Space-Time Perturbations |
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Authors: | Stefan Haesen |
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Institution: | (1) Group of Exact Sciences, Katholieke Universiteit Brussel, Vrijheidslaan 17, B-1081 Brussel, Belgium |
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Abstract: | We study Kerr-Schild type perturbations with a non-null perturbation vector in the vacuum case. The perturbation equations are derived and it is shown that they lead to constraints on the background space-time which can be interpreted in terms of the curvature of 3-spaces. The first order perturbation equations are used to construct new Petrov type D solutions tangent to the Schwarzschild metric. |
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Keywords: | Kerr-Schild perturbation Petrov type D |
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