Radiation from the non-extremal fuzzball

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 nonextremal 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.