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Kerr-Schild metrics revisited. Pt. 1. The ground state

Technical Report:

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.
Publication Date:
Apr 01, 1993
Product Type:
Technical Report
Report Number:
KFKI-1993-07/B
Reference Number:
SCA: 661100; PA: AIX-25:007047; EDB-94:015559; ERA-19:007534; NTS-94:015078; SN: 94001126774
Resource Relation:
Other Information: PBD: Apr 1993
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; KERR METRIC; GROUND STATES; GENERAL RELATIVITY THEORY; SPACE-TIME; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10113153
Research Organizations:
Hungarian Academy of Sciences, Budapest (Hungary). Central Research Inst. for Physics
Country of Origin:
Hungary
Language:
English
Other Identifying Numbers:
Other: ON: DE94611080; TRN: HU9316204007047
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
20 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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}
}