Vacuum Rank 1 Space-Time Perturbations

Details Vacuum Rank 1 Space-Time Perturbations Vacuum Rank 1 Space-Time Perturbations

Aug 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004gregr..36.1791h&link_type=abstract

General Relativity and Gravitation, v. 36, Issue 8, p. 1791-1804 (2004).

Physics

Kerr-Schild, Perturbation, Petrov Type D

Scientific paper

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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