Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-05-09
Class.Quant.Grav.21:4567-4574,2004
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, version published in Class. Quantum Grav
Scientific paper
10.1088/0264-9381/21/19/006
We present a simple novel derivation, ab initio, of the equations appropriate for stationary axisymmetric spacetimes using the Papapetrou form of the metric (Papapetrou gauge). It is shown that using coordinates which preserve the Papapetrou gauge three separated solutions of the Ernst equations appear in the case of Kerr metric. In this context a parameter arises which represents topological defects induced by an infinite static string along the z axis. Finally, we discuss a simple solution that may be derived from the Kerr ansatz.
Bergamini Roberto
Viaggiu Stefano
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