Kerr-Schild metrics revisited I. The ground state

Details Kerr-Schild metrics revisited I. The ground state Kerr-Schild metrics revisited I. The ground state

2002-03-26

arxiv.org/abs/gr-qc/0203088v1

J.Math.Phys. 35 (1994) 2438-2447

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages

Scientific paper

10.1063/1.530515

The Kerr-Schild pencil of metrics $g_{ab}+\La l_al_b$ is investigated in the generic case when it maps an arbitrary vacuum space-time with metric $g_{ab}$ to a vacuum space-time. The theorem is proved that this generic case, with the field $l$ shearing, does not contain the shear-free subclass as a smooth limit. It is shown that one of the K\'ota-Perj\'es metrics is a solution in the shearing class.

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