arXiv:0706.0622v3 [gr-qc] 15 Jan 2008 The Kerr spacetime: A brief introduction Matt Visser School of Mathematics, Statistics, and Computer Science Victoria University of Wellington PO Box 600 Wellington New Zealand 5 June 2007; revised 30 June 2007; revised 15 January 2008; L A T E X-ed February 1, 2008 Comment: This is a draft of an introductory chapter on the Kerr space- time that is intended for use in the book “The Kerr spacetime” , currently being edited by Susan Scott, Matt Visser, and David Wiltshire. This chapter is intended as a teaser and brief introduction to the mathematics and physics of the Kerr spacetime — it is not, nor is it intended to be, a complete and exhaustive survey of everything in the field. Comments and community feed- back, especially regarding clarity and pedagogy, are welcome. Keywords: Kerr spacetime, rotating black holes. arXiv:0706.0622 [gr-qc] Abstract This chapter provides a brief introduction to the mathematics and physics of the Kerr spacetime and rotating black holes, touching on the most common coordinate representations of the spacetime metric and the key features of the geometry — the presence of horizons and ergospheres. The coverage is by no means complete, and serves chiefly to orient oneself when reading subsequent chapters. 1
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