Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-04-27
Gen.Rel.Grav. 30 (1998) 999-1023
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, plain TeX. To be published in General Relativity and Gravitation
Scientific paper
The FHP algorithm allows to obtain the relativistic multipole moments of a vacuum stationary axisymmetric solution in terms of coefficients which appear in the expansion of its Ernst's potential on the symmetry axis. First of all, we will use this result in order to determine, at a certain approximation degree, the Ernst's potential on the symmetry axis of the metric whose only multipole moments are mass and angular momentum. By using Sibgatullin's method we analyse a series of exacts solutions with the afore mentioned multipole characteristic. Besides, we present an approximate solution whose Ernst's potential is introduced as a power series of a dimensionless parameter. The calculation of its multipole moments allows us to understand the existing differences between both approximations to the proposed pure multipole solution.
Hernandez-Pastora José Luis
Martin Jacobo
Ruiz Eduardo
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