Axisymmetric stationary solutions with arbitrary multipole moments

Details Axisymmetric stationary solutions with arbitrary multipole moments Axisymmetric stationary solutions with arbitrary multipole moments

2006-12-07

arxiv.org/abs/gr-qc/0612043v1

Class.Quant.Grav.24:2205-2215,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages

Scientific paper

10.1088/0264-9381/24/9/004

In this paper, the problem of finding an axisymmetric stationary spacetime from a specified set of multipole moments, is studied. The condition on the multipole moments, for existence of a solution, is formulated as a convergence condition on a power series formed from the multipole moments. The methods in this paper can also be used to give approximate solutions to any order as well as estimates on each term of the resulting power series.

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