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Numerical techniques for differential geometry : the development of GRworkbench for investigation of manifolds of arbitrary spacetimes

Lewis, Benjamin Richard

Description

A numerical tool for differential geometry is implemented as a package for an existing computer algebra system, and demonstrated by its application to the investigation of the Curzon space-time and the maximally-extended Schwarzschild solution. Improvements to this tool, named GRworkbench, have included modifying the design to more closely emulate the mathematical formalism, for example in the internal representation of vectors, tensors and coordinate fields. Impediments to the loading of new...[Show more]

CollectionsOpen Access Theses
Date published: 2014
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/155701
DOI: 10.25911/5c6e70dfe58a0

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