Post-Minkowskian analysis of slowly rotating stars
Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
The formalism developed by Hartle is used to set up the fieldequations of slowly and rigidly rotating stars valid to secondorder in the rotation parameter. These equations are then solvedin the exterior vacuum region. In the interior region the fieldequations cannot be solved analytically and an expansion tosecond order in the weak-gravity limit is instead made. The quadrupole moment of the vacuum metric is then calcu-lated. This will depend on a constant that is determined in thematching procedure, which means that it is dependent on theinterior of the star. The quadrupole moment is found to deviate from that of theKerr metric in the weak-gravity limit.
Place, publisher, year, edition, pages
IdentifiersURN: urn:nbn:se:umu:diva-37486OAI: oai:DiVA.org:umu-37486DiVA: diva2:360844
UppsokPhysics, Chemistry, Mathematics