Multipole moments of axisymmetric spacetimes

Detta är en avhandling från Matematiska institutionen

Författare: Thomas Bäckdahl; Linköpings Universitet.; Linköpings Universitet.; [2006]

Nyckelord: NATURVETENSKAP; NATURAL SCIENCES; multipole moments; axisymmetry; spacetimes; prescribed; solutions; static; stationary; Kerr; Weyl; Ernst; NATURAL SCIENCES Physics Other physics Theory of relativity; gravitation; NATURVETENSKAP Fysik Övrig fysik Relativitetsteori; gravitation;

Sammanfattning: 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.

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