Kerr-Schild metrics revisited I. The ground state
Gergely, László Á. · Perjés, Zoltán
Original · EN
The Kerr-Schild pencil of metrics gab+ lₐlb is investigated in the generic case when it maps an arbitrary vacuum space-time with metric gab 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 Kóta-Perjés metrics is a solution in the shearing class.
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