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A novel derivation for Kerr metric in Papapetrou gauge

Roberto Bergamini1 and Stefano Viaggiu2

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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 the 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.


PACS

04.70.-s Physics of black holes

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

11.27.+d Extended classical solutions; cosmic strings, domain walls, texture

MSC

83C57 Black holes

83F05 Cosmology

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 19 (7 October 2004)

Received 23 June 2004, in final form 13 August 2004

Published 17 September 2004



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