Structure of stationary and axisymmetric metrics

Troels Harmark and Poul Olesen
Phys. Rev. D 72, 124017 – Published 16 December 2005

Abstract

We study the structure of stationary and axisymmetric metrics solving the vacuum Einstein equations of general relativity in four and higher dimensions, building on recent work in Phys. Rev. D 70, 124002 (2004). We write the Einstein equations in a new form that naturally identifies the sources for such metrics. The sources live in a one-dimensional subspace and the entire metric is uniquely determined by them. We study in detail the structure of stationary and axisymmetric metrics in four dimensions, and consider as an example the sources of the Kerr black hole.

  • Received 12 September 2005

DOI:https://doi.org/10.1103/PhysRevD.72.124017

©2005 American Physical Society

Authors & Affiliations

Troels Harmark* and Poul Olesen

  • The Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark

  • *Electronic address: harmark@nbi.dk
  • Electronic address: polesen@nbi.dk

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Issue

Vol. 72, Iss. 12 — 15 December 2005

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