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Freely falling point particles in the vicinity of Kerr black holes are subject to a conservation law, that of their Carter constant.
Global structure of the kerr family of gravitational fields
Brandon Carter · 1968
Earlier work this paper cites.
On quadratic first integrals of the geodesic equations for type { \{ 22 } \} spacetimes
M. Walker and R. Penrose · 1970
Earlier work this paper cites.
Naked singularities
Roger Penrose · 1973
Earlier work this paper cites.
Unity of All Elementary Particle Forces
H. Georgi and S.L. Glashow · 1974
Earlier work this paper cites.
The dynamics of Kerr fields
Roger Floyd · 1974
Earlier work this paper cites.
Killing tensor quantum numbers and conserved currents in curved space
Brandon Carter · 1977
Earlier work this paper cites.
The propagation of particles in spacetime foam
S.W. Hawking, D.N. Page, and C.N. Pope · 1979
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Generalized total angular momentum operator for the dirac equation in curved space-time
B. Carter and R. G. McLenaghan · 1979
Cited alongside, same era.
Conserved Quantities of Spinning Test Particles in General Relativity. II
R. Rudiger · 1983
Cited alongside, same era.
Killing spinors and massless spinor fields
G. F. Torres del Castillo · 1985
Cited alongside, same era.
Perturbative approach to an orbital evolution around a supermassive black hole
Yasushi Mino · 2003
Cited alongside, same era.
Gravitational waves from chaotic dynamical system
Kenta Kiuchi and Kei-ichi Maeda · 2004
Cited alongside, same era.
Computing inspirals in Kerr in the adiabatic regime: I. The scalar case
S. Drasco, É. É. Flanagan, and S. A. Hughes · 2005
Cited alongside, same era.
Perspective on gravitational self-force analyses
S. Detweiler · 2005
Later among the works it cites.
Adiabatic Evolution of Orbital Parameters in Kerr Spacetime
N. Sago, T. Tanaka, W. Hikida, K. Ganz, and H. Nakano · 2006
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TOPICAL REVIEW: Gravitational self-force in extreme mass-ratio inspirals
L Barack · 2009
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The Motion of Point Particles in Curved Spacetime
E Poisson, A Pound, and I Vega · 2011
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Periastron advance in spinning black hole binaries: comparing effective-one-body and Numerical Relativity
Tanja Hinderer, Alessandra Buonanno, Abdul H. Mroué, Daniel A. Hemberger, Geoffrey Lovelace, et al · 2013
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unpublished
A. Ashtekar and A. Kesevan · 2013
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Adiabatic Radiation Reaction to Orbits in Kerr Spacetime
N. Sago, T. Tanaka, W. Hikida, and H. Nakano · 2005
Cited alongside, same era.
Gravitational self-force: Orbital mechanics beyond geodesic motion
Leor Barack · 2014
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