Abstract
Dynamics at large redshift near the horizon of an extreme Kerr black hole are governed by an infinite-dimensional conformal symmetry. This symmetry may be exploited to analytically, rather than numerically, compute a variety of potentially observable processes. In this paper we compute and study the conformal transformation properties of the gravitational radiation emitted by an orbiting mass in the large-redshift near-horizon region.
Highlights
Dynamics at large redshift near the horizon of an extreme Kerr black hole are governed by an infinite-dimensional conformal symmetry
Massive objects orbiting a near-extreme Kerr black hole quickly plunge into the horizon after passing the ISCO
In the plunge context the utility of the conformal symmetry comes into full play
Summary
We consider a test particle - or “star” - in an eternal (relative to asymptotic time) circular orbit in the NHEK geometry. We couple it to a massless scalar field and compute and compare the resulting scalar radiation at the horizon from the bulk gravity and boundary CFT perspectives. We attach the asymptotically flat region back and compute the radiation flux at future null infinity as well
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