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Quadrupole moment of slowly rotating fluid balls
Umeå University, Faculty of Science and Technology, Physics.
KFKI Research Institute for Particle and Nuclear Physics, Budapest.
2009 (English)In: Physical Review D. Particles and fields, ISSN 0556-2821, E-ISSN 1089-4918, Vol. 79, no 4, 044018-1-044018-13 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we use the second order formalism of Hartle to study slowly and rigidly rotating stars with focus on the quadrupole moment of the object. The second order field equations for the interior fluid are solved numerically for different classes of possible equations of state and these solutions are then matched to a vacuum solution that includes the general asymptotically flat axisymmetric metric to second order, using the Darmois-Israel procedure. For these solutions we find that the quadrupole moment differs from that of the Kerr metric, as has also been found for some equations of state in other studies. Further we consider the post-Minkowskian limit analytically.  In the paper we also illustrate how the relativistic multipole moments can be calculated from a complex gravitational potential.

Place, publisher, year, edition, pages
2009. Vol. 79, no 4, 044018-1-044018-13 p.
Identifiers
URN: urn:nbn:se:umu:diva-18963DOI: 10.1103/PhysRevD.79.044018OAI: oai:DiVA.org:umu-18963DiVA: diva2:201066
Available from: 2009-03-02 Created: 2009-03-02 Last updated: 2017-12-13

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Publisher's full texthttp://link.aps.org/doi/10.1103/PhysRevD.79.044018

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