Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes

Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes We study the growth and saturation of the superradiant instability of a complex, massive vector (Proca) field as it extracts energy and angular momentum from a spinning black hole, using numerical solutions of the full Einstein-Proca equations. We concentrate on a rapidly spinning black hole (a=0.99) and the dominant m=1 azimuthal mode of the Proca field, with real and imaginary components of the field chosen to yield an axisymmetric stress-energy tensor and, hence, spacetime. We find that in excess of 9% of the black hole’s mass can be transferred into the field. In all cases studied, the superradiant instability smoothly saturates when the black hole’s horizon frequency decreases to match the frequency of the Proca cloud that spontaneously forms around the black hole. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes

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Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes

Abstract

We study the growth and saturation of the superradiant instability of a complex, massive vector (Proca) field as it extracts energy and angular momentum from a spinning black hole, using numerical solutions of the full Einstein-Proca equations. We concentrate on a rapidly spinning black hole (a=0.99) and the dominant m=1 azimuthal mode of the Proca field, with real and imaginary components of the field chosen to yield an axisymmetric stress-energy tensor and, hence, spacetime. We find that in excess of 9% of the black hole’s mass can be transferred into the field. In all cases studied, the superradiant instability smoothly saturates when the black hole’s horizon frequency decreases to match the frequency of the Proca cloud that spontaneously forms around the black hole.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
0031-9007
eISSN
1079-7114
D.O.I.
10.1103/PhysRevLett.119.041101
Publisher site
See Article on Publisher Site

Abstract

We study the growth and saturation of the superradiant instability of a complex, massive vector (Proca) field as it extracts energy and angular momentum from a spinning black hole, using numerical solutions of the full Einstein-Proca equations. We concentrate on a rapidly spinning black hole (a=0.99) and the dominant m=1 azimuthal mode of the Proca field, with real and imaginary components of the field chosen to yield an axisymmetric stress-energy tensor and, hence, spacetime. We find that in excess of 9% of the black hole’s mass can be transferred into the field. In all cases studied, the superradiant instability smoothly saturates when the black hole’s horizon frequency decreases to match the frequency of the Proca cloud that spontaneously forms around the black hole.

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Jul 28, 2017

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