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This chapter provides a brief introduction to 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.
Albert Einstein, “Zur allgemeinen Relativitatstheorie”, Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften (1915) 778, Addendum-ibid. (1915) 799
1915
Earlier work this paper cites.
David Hilbert, “Die Grundlagen der Physik (Erste Mitteilung)”, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-physikalische Klasse (1915), 395–407
1915
Earlier work this paper cites.
Karl Schwarzschild, “Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie”, Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften, 1916 vol. I, 189–196
1916
Earlier work this paper cites.
Karl Schwarzschild, “Über das Gravitationsfeld einer Kugel aus inkompressibler Flussigkeit nach der Einsteinschen Theorie”, Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften, 1916 vol. I, 424–434
1916
Earlier work this paper cites.
Jørg Tofte Jebsen, “Über die allgemeinen kugelsymmetrischen Lösungen der Einsteinschen Gravitationsgleichungen im Vakuum”, Ark. Mat. Ast. Fys. (Stockholm) 15
1921
Earlier work this paper cites.
Paul Painlevé, “La mécanique classique et la theorie de la relativité”, C. R. Acad. Sci., 173
1921
Earlier work this paper cites.
Allvar Gullstrand, “Allgemeine Lösung des statischen Einkörperproblems in der Einsteinschen Gravitationstheorie”, Ark. Mat. Astron. Fys., 16
1922
Earlier work this paper cites.
Garret Birkhoff, Relativity and Modern Physics , (Harvard University Press, Cambridge, 1923)
1923
Earlier work this paper cites.
J. Robert Oppenheimer and Hartland Snyder, “On Continued Gravitational Contraction”, Phys. Rev. 56
1939
Earlier work this paper cites.
Roy Kerr, “The Lorentz-covariant approximation method in general relativity” Il Nuovo Cimento. 13
1959
Earlier work this paper cites.
Roy Kerr and Joshua Goldberg, “Einstein Spaces With Four-Parameter Holonomy Groups”, Journal of Mathematical Physics 2
1961
Earlier work this paper cites.
Roy Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics”, Physical Review Letters 11
1963
Earlier work this paper cites.
Roy Kerr, “Gravitational collapse and rotation”, published in: Quasi-stellar sources and gravitational collapse: Including the proceedings of the First Texas Symposium on Relativistic Astrophysics
1963
Earlier work this paper cites.
Joshua Goldberg and Roy Kerr, “Asymptotic Properties of the Electromagnetic Field”, Journal of Mathematical Physics 5
1964
Earlier work this paper cites.
Ronald J. Adler, Maurice Bazin, and Menahem Schiffer, Introduction to General Relativity
1965
Cited alongside, same era.
Roy Kerr, Alfred Schild, “Some algebraically degenerate solutions of Einstein’s gravitational field equations”, Proc. Symp. Appl. Math, 1965
1965
Cited alongside, same era.
George Debney Jr, Roy Kerr, and Alfred Schild, “Solutions of the Einstein and Einstein-Maxwell Equations”, Journal of Mathematical Physics 10
1969
Cited alongside, same era.
Roy Kerr, George Debney Jr, “Einstein Spaces with Symmetry Groups”, Journal of Mathematical Physics, 11
1970
Cited alongside, same era.
Charles Misner, Kip Thorne, and John Archibald Wheeler, Gravitation
1973
Cited alongside, same era.
Lary Smarr, “Surface geometry of charged rotating black holes”, Physical Review D 7
Barrett O’Niell, Geometry of Kerr Black Holes
1995
Later among the works it cites.
Subrahmanyan Chandrasekhar, The Mathematical Theory of Black Holes
1998
Later among the works it cites.
Matt Visser, “Acoustic black holes: Horizons, ergospheres, and Hawking radiation”, Class. Quant. Grav. 15
1998
Later among the works it cites.
Chris Doran, “A new form of the Kerr solution”, Phys. Rev. D 61
2000
Later among the works it cites.
Nikos Pelavas, Nicholas Neary and Kayll Lake, “Properties of the instantaneous ergo surface of a Kerr black hole”, Class. Quant. Grav. 18
2001
Later among the works it cites.
Hans Stephani, Dietrich Kramer, Malcolm MacCallum, Cornelius Hoenselaers, and Eduard Herlt, Exact Solutions of Einstein’s Field Equations
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1973
Cited alongside, same era.
Stephen Hawking and George Ellis, The large scale structure of space-time
1975
Cited alongside, same era.
Graham Weir and Roy Kerr, “Diverging type-D metrics”, Proceedings of the Royal Society of London, 355
1977
Cited alongside, same era.
Roy Kerr and Wilson, W. B., “Singularities in the Kerr-Schild metrics”, General Relativity and Gravitation – GR8 1977, proceedings of the 8th International Conference on General Relativity and Gravitation, held August 7-12, 1977, in Waterloo, Ontario, Canada. 1977, p. 378
1977
Cited alongside, same era.
Hans Thirring and Josef Lense, “Über den Einfluss der Eigenrotation der Zentralkörperauf die Bewegung der Planeten und Monde nach der Einsteinschen Gravitationstheorie”, Physikalische Zeitschrift, Leipzig Jg. 19
1984
Cited alongside, same era.
Edward Fackerell and Roy Kerr, “Einstein vacuum field equations with a single non-null Killing vector”, General Relativity and Gravitation, 23
1991
Cited alongside, same era.
Ray D’Inverno, Introducing Einstein’s Relativity
1992
Cited alongside, same era.
2002
Later among the works it cites.
James Hartle, Gravity: An introduction to Einstein’s general relativity
2003
Later among the works it cites.
K. Lake, “Differential Invariants of the Kerr Vacuum,” Gen. Rel. Grav. 36
2003
Later among the works it cites.
Sean Carroll, An introduction to general relativity: Spacetime and Geometry
2004
Later among the works it cites.
Stanley Deser and Joel Franklin, “Schwarzschild and Birkhoff a la Weyl”, Am. J. Phys. 73
2005
Later among the works it cites.
Matt Visser and Silke Weinfurtner, “Vortex geometry for the equatorial slice of the Kerr black hole”, Class. Quant. Grav. 22
2005
Later among the works it cites.
Nils Voje Johansen, Finn Ravndal, “On the discovery of Birkhoff’s theorem”, Gen.Rel.Grav. 38 (2006) 537-540 [arXiv: physics/0508163]
2006
Later among the works it cites.
Jerzy Plebański and Andrzej Krasiński, An introduction to general relativity and cosmology
2006
Later among the works it cites.