Abstract
The particular way Kerr-Schild metrics incorporate a congruence of null curves in space-time is a sure source of fascination. The Kerr-Schild pencil of metrics g{sub ab}+{Delta}l{sub a}l{sub b} is investigated in the generic case when it maps an arbitrary vacuum space-time with metric g{sub ab} to a vacuum space-time. The theorem is proved that this generic case does not contain the shear-free subclass as a smooth limit. It is shown that one of the Kota-Perjes metrics is a solution in the shearing class. (R.P.) 15 refs.
Citation Formats
Gergely, L A, and Perjes, Z.
Kerr-Schild metrics revisited. Pt. 1. The ground state.
Hungary: N. p.,
1993.
Web.
Gergely, L A, & Perjes, Z.
Kerr-Schild metrics revisited. Pt. 1. The ground state.
Hungary.
Gergely, L A, and Perjes, Z.
1993.
"Kerr-Schild metrics revisited. Pt. 1. The ground state."
Hungary.
@misc{etde_10113153,
title = {Kerr-Schild metrics revisited. Pt. 1. The ground state}
author = {Gergely, L A, and Perjes, Z}
abstractNote = {The particular way Kerr-Schild metrics incorporate a congruence of null curves in space-time is a sure source of fascination. The Kerr-Schild pencil of metrics g{sub ab}+{Delta}l{sub a}l{sub b} is investigated in the generic case when it maps an arbitrary vacuum space-time with metric g{sub ab} to a vacuum space-time. The theorem is proved that this generic case does not contain the shear-free subclass as a smooth limit. It is shown that one of the Kota-Perjes metrics is a solution in the shearing class. (R.P.) 15 refs.}
place = {Hungary}
year = {1993}
month = {Apr}
}
title = {Kerr-Schild metrics revisited. Pt. 1. The ground state}
author = {Gergely, L A, and Perjes, Z}
abstractNote = {The particular way Kerr-Schild metrics incorporate a congruence of null curves in space-time is a sure source of fascination. The Kerr-Schild pencil of metrics g{sub ab}+{Delta}l{sub a}l{sub b} is investigated in the generic case when it maps an arbitrary vacuum space-time with metric g{sub ab} to a vacuum space-time. The theorem is proved that this generic case does not contain the shear-free subclass as a smooth limit. It is shown that one of the Kota-Perjes metrics is a solution in the shearing class. (R.P.) 15 refs.}
place = {Hungary}
year = {1993}
month = {Apr}
}