Radiation from the non-extremal fuzzball

Abstract

The fuzzball proposal says that the information of the black hole state is distributed throughout the interior of the horizon in a ‘quantum fuzz’. There are special microstates where in the dual CFT we have ‘many excitations in the same state’; these are described by regular classical geometries without horizons. Jejjala et al (2005 Phys. Rev. D 71 124030) constructed non-extremal regular geometries of this type. Cardoso et al (2006 Phys. Rev. D 73 064031, 2007 Phys. Rev. D 76 105015) then found that these geometries had a classical instability. In this paper, we show that the energy radiated through the unstable modes is exactly the Hawking radiation for these microstates. We do this by (i) starting with the semiclassical Hawking radiation rate, (ii) using it to find the emission vertex in the CFT, (iii) replacing the Boltzman distributions of the generic CFT state with the ones describing the microstate of interest, (iv) observing that the emission now reproduces the classical instability. Because the CFT has ‘many excitations in the same state’ we get the physics of a Bose–Einstein condensate rather than a thermal gas, and the usually slow Hawking emission increases, by Bose enhancement, to a classically radiated field. This system therefore provides a complete gravity description of information-carrying radiation from a special microstate of the non-extremal hole.