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Classifying geometries in general relativity I: standard forms for symmetric spinors

Classifying geometries in general relativity I: standard forms for symmetric spinors
Classifying geometries in general relativity I: standard forms for symmetric spinors
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.
0264-9381
643-663
Pollney, D.
0ebe2f11-18ac-4b16-80e7-53f1fbacd4dc
Skea, J.E.F.
7ae69a13-d932-4eb2-812d-46212e64957a
D'Inverno, R.A.
f78a4bf1-ce8d-4f37-822b-aad784ba5f06
Pollney, D.
0ebe2f11-18ac-4b16-80e7-53f1fbacd4dc
Skea, J.E.F.
7ae69a13-d932-4eb2-812d-46212e64957a
D'Inverno, R.A.
f78a4bf1-ce8d-4f37-822b-aad784ba5f06

Pollney, D., Skea, J.E.F. and D'Inverno, R.A. (2000) Classifying geometries in general relativity I: standard forms for symmetric spinors. Classical and Quantum Gravity, 17 (3), 643-663. (doi:10.1088/0264-9381/17/3/306).

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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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Published date: 2000

Identifiers

Local EPrints ID: 29547
URI: http://eprints.soton.ac.uk/id/eprint/29547
ISSN: 0264-9381
PURE UUID: cf0b060f-8e3d-475c-8b00-0c640dc2006a

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Date deposited: 19 Jul 2006
Last modified: 07 Jan 2022 22:23

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Contributors

Author: D. Pollney
Author: J.E.F. Skea
Author: R.A. D'Inverno

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