Studies of Transport Coefficients in Charged AdS۴ Black Holes on κ-Deformed Space

In this work, we study the effect of κ-deformed space on the thermodynamic quantities, this is find through the holographic renormalization that provides the free energy, which is fundamental to deriving another thermodynamic quantities. For this scenario we consider a charged AdS۴ black hole for an Einstein-Maxwell model where the derivative quadrivector is replaced by a deformed version inspired by Kaniadakis statistics. Besides, we extract the transport coefficient known as electrical conductivity.

Keywords:

AdS۴ Black Hole , Holographic transport , κ-Deformed Space