caa a22 4500 445387262 CHVBK 20180317143035.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s10714-010-1135-9 doi (NATIONALLICENCE)springer-10.1007/s10714-010-1135-9 On the black hole limit of rotating discs and rings [Elektronische Daten] [A. Kleinwächter, H. Labranche, R. Meinel] Solutions to Einstein's field equations describing rotating fluid bodies in equilibrium permit parametric (i.e. quasi-stationary) transitions to the extreme Kerr solution (outside the horizon). This has been shown analytically for discs of dust and numerically for ring solutions with various equations of state. From the exterior point of view, this transition can be interpreted as a (quasi) black hole limit. All gravitational multipole moments assume precisely the values of an extremal Kerr black hole in the limit. In the present paper, the way in which the black hole limit is approached is investigated in more detail by means of a parametric Taylor series expansion of the exact solution describing a rigidly rotating disc of dust. Combined with numerical calculations for ring solutions our results indicate an interesting universal behaviour of the multipole moments near the black hole limit. Springer Science+Business Media, LLC, 2010 Black holes nationallicence Rotating fluids nationallicence Multipole moments nationallicence Kerr metric nationallicence No-hair theorem nationallicence Kleinwächter A. Theoretisch-Physikalisches Institut, University of Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut Labranche H. Theoretisch-Physikalisches Institut, University of Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut Meinel R. Theoretisch-Physikalisches Institut, University of Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/5(2011-05-01), 1469-1486 0001-7701 43:5<1469 2011 43 10714 https://doi.org/10.1007/s10714-010-1135-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-010-1135-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kleinwächter A. Theoretisch-Physikalisches Institut, University of Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut NATIONALLICENCE 700 1- Labranche H. Theoretisch-Physikalisches Institut, University of Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut NATIONALLICENCE 700 1- Meinel R. Theoretisch-Physikalisches Institut, University of Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/5(2011-05-01), 1469-1486 0001-7701 43:5<1469 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer