Built on

B. Carter, Phys. Rev. 174
1968
Earlier work this paper cites.
J. M. Bardeen, W. H. Press, and S. A. Teukolsky, Astrophys. J. 178
1972
Earlier work this paper cites.
J. Binney and S. Tremaine, Galactic Dynamics
1987
Earlier work this paper cites.

Similar

H. Tagoshi, Prog. Theor. Phys. 93
1995
Cited alongside, same era.
D. Kennefick, Phys. Rev. D 58
1998
Cited alongside, same era.
W. Schmidt, Class. Quantum Grav. 19
2002
Cited alongside, same era.
L. Lindblom, B. J. Owen, and D. A. Brown, Phys. Rev. D 78
Original
Cited in the paper.

E. Barausse, V. Cardoso, and P. Pani, Phys. Rev. D 89
2014
Later among the works it cites.
R. Fujita, Prog. Theor. Exp. Phys. 2015
2015
Later among the works it cites.
S. Isoyama and H. Nakano, Class. Quantum Grav. 35
2018
Closest in time.

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…

Reading the bibliography…

2018

Hughes, Scott A.

Bound orbits of black holes are very well understood.

Given a Kerr black hole of mass $M$ and spin $S = aM^2$, it is simple to characterize its orbits as functions of the orbit's geometry.
How do the orbits change if the black hole is itself evolving? How do the orbits change if the orbiting body evolves? In this paper, we consider a process that changes a black hole's mass and spin, acting such that the spacetime is described by the Kerr solution at any moment, or that changes the orbiting body's mass.
Provided this change happens slowly, the orbit's actions ($J_r, J_\theta, J_\phi$) are {\it adiabatic invariants}, and thus are constant during this process.

B. Carter, Phys. Rev. 174
1968
Earlier work this paper cites.
J. M. Bardeen, W. H. Press, and S. A. Teukolsky, Astrophys. J. 178
1972
Earlier work this paper cites.
J. Binney and S. Tremaine, Galactic Dynamics
1987
Earlier work this paper cites.

H. Tagoshi, Prog. Theor. Phys. 93
1995
Cited alongside, same era.
D. Kennefick, Phys. Rev. D 58
1998
Cited alongside, same era.
W. Schmidt, Class. Quantum Grav. 19
2002
Cited alongside, same era.
L. Lindblom, B. J. Owen, and D. A. Brown, Phys. Rev. D 78
Original
Cited in the paper.

E. Barausse, V. Cardoso, and P. Pani, Phys. Rev. D 89
2014
Later among the works it cites.
R. Fujita, Prog. Theor. Exp. Phys. 2015
2015
Later among the works it cites.
S. Isoyama and H. Nakano, Class. Quantum Grav. 35
2018
Closest in time.

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…