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Rotating black holes in a draining bathtub: superradiant scattering of gravity waves

Richartz, Mauricio; Prain, Angus; Liberati, Stefano; Weinfurtner, Silke

Authors

Mauricio Richartz

Angus Prain

Stefano Liberati

SILKE WEINFURTNER Silke.Weinfurtner@nottingham.ac.uk
Professor of Mathematicaland Experimental Physics



Abstract

In a draining rotating fluid flow background, surface perturbations behave as a scalar field on a rotating effective black hole spacetime. We propose a new model for the background flow which takes into account the varying depth of the water. Numerical integration of the associated Klein-Gordon equation using accessible experimental parameters shows that gravity waves in an appropriate frequency range are amplified through the mechanism of superradiance. Our numerical results suggest that the observation of this phenomenon in a common fluid mechanical system is within experimental reach. Unlike the case of wave scattering around Kerr black holes, which depends only on one dimensionless background parameter (the ratio a/M between the specific angular momentum and the mass of the black hole), our system depends on two dimensionless background parameters, namely the normalized angular velocity and surface gravity at the effective black hole horizon.

Journal Article Type Article
Publication Date Jun 5, 2015
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 91
Issue 12
Article Number 124018
APA6 Citation Richartz, M., Prain, A., Liberati, S., & Weinfurtner, S. (2015). Rotating black holes in a draining bathtub: superradiant scattering of gravity waves. Physical Review D, 91(12), https://doi.org/10.1103/PhysRevD.91.124018
DOI https://doi.org/10.1103/PhysRevD.91.124018
Publisher URL https://doi.org/10.1103/PhysRevD.91.124018
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information © 2015 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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