Some algorithmic approaches to exact solutions in general relativity
Some algorithmic approaches to exact solutions in general relativity
This thesis explores the use of algorithms for constructing solutions to Einstein's field equations under the assumption of cylindrical symmetry. To support such an investigation various computer programs were developed using the algebraic computing systems SHEEP and STENSOR. The question of whether or not axially sysmmetric solutions to Einstein's equations map over to the cylindrical domain was systematically addressed, and many of the fascinating results found for such axially symmetric systems were shown to be relevant for cylindrical systems. The description of the field of an infinite cylindrical shell of matter was then attempted for static, stationary and non-stationary space-times. (D72192/87)
University of Southampton
Holmes, Geoffrey
6cffaf19-276a-4255-92ca-16cac6069bdc
1986
Holmes, Geoffrey
6cffaf19-276a-4255-92ca-16cac6069bdc
Holmes, Geoffrey
(1986)
Some algorithmic approaches to exact solutions in general relativity.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
This thesis explores the use of algorithms for constructing solutions to Einstein's field equations under the assumption of cylindrical symmetry. To support such an investigation various computer programs were developed using the algebraic computing systems SHEEP and STENSOR. The question of whether or not axially sysmmetric solutions to Einstein's equations map over to the cylindrical domain was systematically addressed, and many of the fascinating results found for such axially symmetric systems were shown to be relevant for cylindrical systems. The description of the field of an infinite cylindrical shell of matter was then attempted for static, stationary and non-stationary space-times. (D72192/87)
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Published date: 1986
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Local EPrints ID: 460827
URI: http://eprints.soton.ac.uk/id/eprint/460827
PURE UUID: 5400a6e8-8af0-4fc6-8122-3baf1ef5a326
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Date deposited: 04 Jul 2022 18:30
Last modified: 04 Jul 2022 18:30
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Author:
Geoffrey Holmes
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