Dimension of quantum channel of radiation in pure Lovelock black holes

Abstract

It is known that the emission rate of entropy from a Schwarzschild black hole is exactly the same as that of a one dimensional quantum channel \cite{Beken}. We calculate the dimension of entropy emission from a $D$ dimensional pure Lovelock black holes. Our results indicate that the dimension of transmission for odd $D$ dimensional space-times is equal to $D$ and for even $D$ dimensional space-times, the dimension of quantum channel becomes $1+\epsilon (\Lambda)$, where $ \Lambda $ is cosmological constant. It is interesting that cosmological constant may put some constraint on dimension of quantum channel in even dimensional space-times. The effect of Generalized Uncertainty Principle (GUP) on the dimension of transmission of entropy for a Schwarzschild black hole is also investigated.