Penrose limits onto the photon ring and past horizon of Schwarzschild produce pp-wave spacetimes whose isometries generate the evenly spaced overtones of eikonal and highly damped quasinormal modes.
Horizon State, Hawking Radiation and Boundary Liouville Model
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We demonstrate that the near-horizon physics, the Hawking radiation and the reflection off the radial potential barrier, can be understood entirely within a conformal field theory picture in terms of one- and two-point functions in the boundary Liouville theory. An important element in this demonstration is the notion of {\it horizon state}, the Hawking radiation being interpreted as a result of the transition of horizon state to the ordinary states propagating outside black hole horizon.
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pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes
Penrose limits onto the photon ring and past horizon of Schwarzschild produce pp-wave spacetimes whose isometries generate the evenly spaced overtones of eikonal and highly damped quasinormal modes.