Generalization of the model of Hawking radiation with modified high frequency dispersion relation

摘要: Hawking radiation is one of the most interesting phenomena predicted by theory quantum fields in curved space. The origin closely related to fact that a particle which marginally escapes from collapsing into black hole observed at future infinity with an infinitely large redshift. In other words, such had very high frequency when it was near event horizon. Motivated possibility property may be altered some unknown physics exist beyond critical scale, Unruh proposed model has higher order spatial derivative terms. his model, effects are modeled so as suppressed for waves wavelength much longer than scale ${k}_{0}^{\ensuremath{-}1}.$ Surprisingly, shown thermal spectrum recovered modified models. To introduce terms, Lorentz invariance must violated because special direction needs chosen. previous works, rest frame freely falling observers employed this reference frame. Here we give extension allowing more general choice Developing method taken Corley, show resulting created particles again becomes temperature even if generalized. Using technique matched asymptotic expansion, also correction stays ${k}_{0}^{\ensuremath{-}2}$ or smaller radiated around its peak concerned.