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2015

How fast can a black hole rotate?

Herdeiro, Carlos A. R., Radu, Eugen

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Kerr black holes have their angular momentum, $J$, bounded by their mass, $M$: $Jc\leqslant GM^2$.

There are, however, known black hole solutions violating this Kerr bound.
We propose a very simple universal bound on the rotation, rather than on the angular momentum, of four-dimensional, stationary and axisymmetric, asymptotically flat black holes, given in terms of an appropriately defined horizon linear velocity, $v_H$.
The $v_H$ bound is simply that $v_H$ cannot exceed the velocity of light.

How fast can a black hole rotate? · Around

Built on

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F. E. Schunck and E. W. Mielke, “General relativistic boson stars,” Class. Quant. Grav. 20
Original
2003
Earlier work this paper cites.
S. Dain, “Angular momentum-mass inequality for axisymmetric black holes,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.

Similar

H. Elvang and P. Figueras, “Black Saturn,” JHEP 0705
2007
Cited alongside, same era.
S. Dain, “Proof of the angular momentum-mass inequality for axisymmetric black holes,” J. Diff. Geom. 79
2008
Cited alongside, same era.
P. T. Chrusciel, Y. Li and G. Weinstein, “Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular-momentum,” Annals Phys. 323
Original
2008
Cited alongside, same era.
C. A. R. Herdeiro, C. Rebelo and C. M. Warnick, “On the backreaction of frame dragging,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
Albeit, in an extension of the original model: B. Kleihaus, J. Kunz and S. Yazadjiev, “Scalarized Hairy Black Holes,” arXiv:1503.01672 [gr-qc]
Original
Cited in the paper.
C. Herdeiro and E. Radu, “Construction and physical properties of Kerr black holes with scalar hair,” arXiv:1501.04319 [gr-qc]
Original
Cited in the paper.
P. K. Townsend, “Black holes: Lecture notes,” gr-qc/9707012
Cited in the paper.

Then

J. L. Jaramillo, M. Reiris and S. Dain, “Black hole Area-Angular momentum inequality in non-vacuum spacetimes,” Phys. Rev. D 84
Original
2011
Later among the works it cites.
S. L. Liebling and C. Palenzuela, “Dynamical Boson Stars,” Living Rev. Rel. 15
Original
2012
Later among the works it cites.
C. A. R. Herdeiro and E. Radu, “Kerr black holes with scalar hair,” Phys. Rev. Lett. 112
Original
2014
Later among the works it cites.

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