Classifying geometries in general relativity: I. Standard forms for symmetric spinors

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Published under licence by IOP Publishing Ltd
, , Citation D Pollney et al 2000 Class. Quantum Grav. 17 643 DOI 10.1088/0264-9381/17/3/306

0264-9381/17/3/643

Abstract

This is the first in a series of papers concerning a project to set up a computer database of exact solutions in general relativity which can be accessed and updated by the user community. In this paper, we briefly discuss the Cartan-Karlhede invariant classification of geometries and the significance of the standard form of a spinor. We then present algorithms for putting the Weyl spinor, Ricci spinor and general spinors into standard form.

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10.1088/0264-9381/17/3/306