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Invariant differential operators and the Karlhede classification of type N vacuum solutions.

Invariant differential operators and the Karlhede classification of type N vacuum solutions.
Invariant differential operators and the Karlhede classification of type N vacuum solutions.
A spacetime calculus based on a single null direction, and which is therefore invariant under null rotations, is employed to show that a type N vacuum solution of Einstein's equations requires the calculation of at most five covariant derivatives of the curvature for its complete Karlhede classification.
0264-9381
1589-1599
Machado Ramos, M.P.
8a175bf3-4d84-4523-95b9-be112ec51b2e
Vickers, J.A.G.
719cd73f-c462-417d-a341-0b042db88634
Machado Ramos, M.P.
8a175bf3-4d84-4523-95b9-be112ec51b2e
Vickers, J.A.G.
719cd73f-c462-417d-a341-0b042db88634

Machado Ramos, M.P. and Vickers, J.A.G. (1996) Invariant differential operators and the Karlhede classification of type N vacuum solutions. Classical and Quantum Gravity, 13 (6), 1589-1599. (doi:10.1088/0264-9381/13/6/023).

Record type: Article

Abstract

A spacetime calculus based on a single null direction, and which is therefore invariant under null rotations, is employed to show that a type N vacuum solution of Einstein's equations requires the calculation of at most five covariant derivatives of the curvature for its complete Karlhede classification.

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Published date: 1996

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Local EPrints ID: 29324
URI: http://eprints.soton.ac.uk/id/eprint/29324
ISSN: 0264-9381
PURE UUID: 5ec42ab0-df63-4f38-92bb-712dcfdade45
ORCID for J.A.G. Vickers: ORCID iD orcid.org/0000-0002-1531-6273

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Date deposited: 06 Feb 2007
Last modified: 16 Mar 2024 02:34

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Contributors

Author: M.P. Machado Ramos
Author: J.A.G. Vickers ORCID iD

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