Implementation of Maple to do calculations in general relativity: "the traversable wormhole"
Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
The main objectives of most books and articles concerning general relativity are the mathematical details of the theory. Most of the calculations in general relativity are long, tedious and time consuming. However, these kinds of calculations can be done easily in Maple. This introduction is aimed towards students who want to put their theoretical knowledge of general relativity to use by solving some more complex problems using Maple. An introduction is given to some of the tools in Maple for solving certain quantities and equations in general relativity. By implementing in Maple, calculations (even some advanced calculations) in general relativity can be done quite easily. As a model and an example for Maple calculations, the article by M. S. Morris and K. S. Thorne, Am. J. Phys. 56, 395 (1988) has been chosen. The mathematical object of study is the “traversable wormhole”. In this text, the Einstein field equations for the traversable wormhole are calculated in Maple. The commands used for these calculations are explained in detail. In the latter part of this text, some important quantities and relations are analyzed in more detail by means of Maple.
Place, publisher, year, edition, pages
IdentifiersURN: urn:nbn:se:ltu:diva-59459ISRN: LTU-EX--04/276--SELocal ID: ff9d6153-c649-439e-bc07-a16e247c3343OAI: oai:DiVA.org:ltu-59459DiVA: diva2:1032847
Subject / course
Student thesis, at least 30 credits
Engineering Physics, master's level
Validerat; 20101217 (root)2016-10-042016-10-04Bibliographically approved