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


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).

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Description/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.

Item Type: Article
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29324
Date Deposited: 06 Feb 2007
Last Modified: 27 Mar 2014 18:17
URI: http://eprints.soton.ac.uk/id/eprint/29324

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