Built on

B. Carter, “Global structure of the Kerr family of gravitational fields,” Phys. Rev. 174
1968
Earlier work this paper cites.
S. W. Hawking, “Gravitational radiation from colliding black holes,” Phys. Rev. Lett. 26
1971
Earlier work this paper cites.
S. Chandrasekhar, The mathematical theory of black holes,
1985
Earlier work this paper cites.
S. A. Hughes, C. R. Keeton, P. Walker, K. T. Walsh, S. L. Shapiro and S. A. Teukolsky, “Finding black holes in numerical space-times,” Phys. Rev. D 49
1994
Earlier work this paper cites.
S. L. Shapiro, S. A. Teukolsky and J. Winicour, “Toroidal black holes and topological censorship,” Phys. Rev. D 52
1995
Earlier work this paper cites.
M. Siino, “Topology of event horizon,” Phys. Rev. D 58
1998
Earlier work this paper cites.

Similar

L. Lehner, N. T. Bishop, R. Gomez, B. Szilagyi and J. Winicour, “Exact solutions for the intrinsic geometry of black hole coalescence,” Phys. Rev. D 60
1999
Cited alongside, same era.
S. Husa and J. Winicour, “The Asymmetric merger of black holes,” Phys. Rev. D 60
1999
Cited alongside, same era.
A. Čadež, C. Fanton, M. Calvani, “Line emission from accretion discs around black holes: the analytic approach,” New Astronomy 3
Original
2007
Cited alongside, same era.
R. Hamerly and Y. Chen, “Event Horizon Deformations in Extreme Mass-Ratio Black Hole Mergers,” Phys. Rev. D 84
Original
2011
Cited alongside, same era.
M. Siino and T. Koike, “Topological classification of black hole: Generic Maxwell set and crease set of horizon,” Int. J. Mod. Phys. D 20
2011

Then

S. V. Fuerst and K. W. Wu, “Radiation transfer of emission lines in curved space-time,” Astron. Astrophys. 424
Original
2012
Later among the works it cites.
M. I. Cohen, J. D. Kaplan and M. A. Scheel, “On Toroidal Horizons in Binary Black Hole Inspirals,” Phys. Rev. D 85
Original
2012
Later among the works it cites.
R. Emparan and M. Martínez, “Exact Event Horizon of a Black Hole Merger,” Class. Quant. Grav. 33
Original
2016
Later among the works it cites.
H. Y. Pu, K. Yun, Z. Younsi and S. J. Yoon, “Odyssey: A Public GPU-Based Code for General-Relativistic Radiative Transfer in Kerr Spacetime,” Astrophys. J. 820
Original
2016
Later among the works it cites.
A. Bohn, L. E. Kidder and S. A. Teukolsky, “Toroidal Horizons in Binary Black Hole Mergers,” Phys. Rev. D 94

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2017

Black hole fusion in the extreme mass ratio limit

Emparan, Roberto, Martinez, Marina, Zilhao, Miguel

Understand

We present a simple, general, and accurate construction of the event horizons for the fusion of two neutral, rotating black holes with arbitrary orientation and values of their spins, in the extreme mass ratio limit where one black hole is much larger than the other.

We compute several parameters that characterize the fusion and investigate their dependence on the black hole spin and orientation axis.
We also exhibit and study the appearance of transient toroidal topology of the horizon.
An earlier conjecture about universal critical exponents before and after an axisymmetric pinch is proven.

Built on

B. Carter, “Global structure of the Kerr family of gravitational fields,” Phys. Rev. 174
1968
Earlier work this paper cites.
S. W. Hawking, “Gravitational radiation from colliding black holes,” Phys. Rev. Lett. 26
1971
Earlier work this paper cites.
S. Chandrasekhar, The mathematical theory of black holes,
1985
Earlier work this paper cites.
S. A. Hughes, C. R. Keeton, P. Walker, K. T. Walsh, S. L. Shapiro and S. A. Teukolsky, “Finding black holes in numerical space-times,” Phys. Rev. D 49
1994
Earlier work this paper cites.
S. L. Shapiro, S. A. Teukolsky and J. Winicour, “Toroidal black holes and topological censorship,” Phys. Rev. D 52
1995
Earlier work this paper cites.
M. Siino, “Topology of event horizon,” Phys. Rev. D 58
1998
Earlier work this paper cites.

Similar

L. Lehner, N. T. Bishop, R. Gomez, B. Szilagyi and J. Winicour, “Exact solutions for the intrinsic geometry of black hole coalescence,” Phys. Rev. D 60
1999
Cited alongside, same era.
S. Husa and J. Winicour, “The Asymmetric merger of black holes,” Phys. Rev. D 60
1999
Cited alongside, same era.
A. Čadež, C. Fanton, M. Calvani, “Line emission from accretion discs around black holes: the analytic approach,” New Astronomy 3
Original
2007
Cited alongside, same era.
R. Hamerly and Y. Chen, “Event Horizon Deformations in Extreme Mass-Ratio Black Hole Mergers,” Phys. Rev. D 84
Original
2011
Cited alongside, same era.
M. Siino and T. Koike, “Topological classification of black hole: Generic Maxwell set and crease set of horizon,” Int. J. Mod. Phys. D 20
2011

Then

S. V. Fuerst and K. W. Wu, “Radiation transfer of emission lines in curved space-time,” Astron. Astrophys. 424
Original
2012
Later among the works it cites.
M. I. Cohen, J. D. Kaplan and M. A. Scheel, “On Toroidal Horizons in Binary Black Hole Inspirals,” Phys. Rev. D 85
Original
2012
Later among the works it cites.
R. Emparan and M. Martínez, “Exact Event Horizon of a Black Hole Merger,” Class. Quant. Grav. 33
Original
2016
Later among the works it cites.
H. Y. Pu, K. Yun, Z. Younsi and S. J. Yoon, “Odyssey: A Public GPU-Based Code for General-Relativistic Radiative Transfer in Kerr Spacetime,” Astrophys. J. 820
Original
2016
Later among the works it cites.
A. Bohn, L. E. Kidder and S. A. Teukolsky, “Toroidal Horizons in Binary Black Hole Mergers,” Phys. Rev. D 94

Beyond the bibliography

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

Open on alphaXiv

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Cited alongside, same era.

M. Ponce, C. Lousto and Y. Zlochower, “Seeking for toroidal event horizons from initially stationary BH configurations,” Class. Quant. Grav. 28

Original

2011

Cited alongside, same era.

U. Hussain and I. Booth, “Deformation of horizons during a merger,” arXiv:1705.01510 [gr-qc]

Original

Cited in the paper.

M. Siino, “Topology of event horizon in axially symmetric spacetime: Classification of Maxwell set with symmetry,” gr-qc/0505004

Cited in the paper.

Original

2016

Later among the works it cites.