Hawking radiation inside a rotating black hole
Tyler McMaken, A. Hamilton
Abstract
In semiclassical gravity, the vacuum expectation value $⟨\stackrel{^}{N}⟩$ of the particle number operator for a quantum field gives rise to the perception of thermal radiation in the vicinity of a black hole. This Hawking effect has been examined only for observers asymptotically far from a Kerr black hole; here we generalize the analysis to various classes of freely falling observers both outside and inside the Kerr event horizon. Of note, we find that the effective temperature of the $⟨\stackrel{^}{N}⟩$ distribution remains regular for observers at the event horizon but becomes negative and divergent for observers reaching the (Cauchy) inner horizon. Furthermore, the perception of Hawking radiation varies greatly for different classes of observers, though the spectrum is generally a graybody that decreases in intensity with black hole spin and increases in temperature when looking toward the edges of the black hole shadow.