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

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Author(s):
Richartz, Mauricio ; Prain, Angus ; Liberati, Stefano ; Weinfurtner, Silke
Total Authors: 4
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 91, n. 12, p. 12-pg., 2015-06-05.
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. (AU)

FAPESP's process: 13/09357-9 - Physics and geometry of spacetime
Grantee:Alberto Vazquez Saa
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 13/15748-0 - Analogue Models: superradiance and stability
Grantee:Maurício Richartz
Support Opportunities: Scholarships abroad - Research