Multipole moments of axisymmetric spacetimes
2006 (English)Licentiate thesis, comprehensive summary (Other academic)
In this thesis we study multipole moments of axisymmetric spacetimes. Using the recursive definition of the multipole moments of Geroch and Hansen we develop a method for computing all multipole moments of a stationary axisymmetric spacetime without the use of a recursion. This is a generalisation of a method developed by Herberthson for the static case.
Using Herberthson’s method we also develop a method for finding a static axisymmetric spacetime with arbitrary prescribed multipole moments, subject to a specified convergence criteria. This method has, in general, a step where one has to find an explicit expression for an implicitly defined function. However, if the number of multipole moments are finite we give an explicit expression in terms of power series.
Place, publisher, year, edition, pages
Matematiska institutionen , 2006. , 46 p.
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1223
multipole moments, axisymmetry, spacetimes, prescribed, solutions, static, stationary, Kerr, Weyl, Ernst
Other Physics Topics
IdentifiersURN: urn:nbn:se:liu:diva-5400ISBN: 91-85457-98-1OAI: oai:DiVA.org:liu-5400DiVA: diva2:21293
2006-01-30, BL32, Hus B, Campus Valla, Linköpings universitet, Linköping, 10:15 (English)
Herberthson, MagnusEdgar, Brian
Note: The two articles are also available in the pdf-file. Report code: LiU-TEK-LIC-2006:4.2006-01-122006-01-122009-05-07
List of papers