MGAT4 - Exact Solutions (Physical Aspects) |
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Speaker |
Bradley, Michael |
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Co-autors |
Gyula Fodor |
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Talk Title |
The quadrupole moment of slowly rotating stars |
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Abstract |
The second order formalism of Hartle is used 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 is larger than 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. It is also illustrated how the relativistic multipole moments can be calculated from a complex gravitational potential. |
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