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.

6 pages

References in corpus (3)

• Discreteness of Space from the Generalized Uncertainty Principle
• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound

Cited by in corpus (5)

• The entropy emission properties of near-extremal Reissner-Nordström black holes
• Thin-shell Wormholes with Ordinary Matter in Pure Gauss-Bonnet Gravity
• Maximum rate of entropy emission
• Gravitational anomalies and one dimensional behaviour of black holes
• A note on entropy of matter in presence of gravity: status of extensivity of entropy