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

@article{East2017SuperradiantIA, title={Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes.}, author={William E. East and Frans Pretorius}, journal={Physical review letters}, year={2017}, volume={119 4}, pages={ 041101 } }

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…

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## References

SHOWING 1-10 OF 42 REFERENCES

### Lecture Notes on Physics

- PhysicsNature
- 1879

THE author says in his preface that the book “may be supposed to represent the notes, somewhat expanded, which the teacher would desire the class to take down and learn.” If so, the “notes”before us…

### Phys. Rev. Lett

- Phys. Rev. Lett
- 2012

### Phys. Rev. D83

- Phys. Rev. D83
- 2011

### Annals Phys

- Annals Phys
- 1979

### Classical Quantum Gravity 32

- 134001
- 2015

### Phys. Rev. Lett

- Phys. Rev. Lett
- 2016

### Phys

- Rev. D 87, 043513
- 2013

### Phys. Rev. D76

- Phys. Rev. D76
- 2007

### Class. Quant. Grav

- Class. Quant. Grav
- 2015