Studies of Transport Coefficients in Charged AdS4 Black Holes on κ-Deformed Space

Document Type : Regular article

Authors

1 Instituto de Física, Universidade Federal do Rio de Janeiro, Brazil.

2 Instituto Federal de Educacao

3 Instituto de F'isica, Universidade Federal da Bahia-Campus Universit'ario de Ondina

Abstract

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 AdS4 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.

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Journal of Holography Applications in Physics
Volume 2, Issue 4
November 2022
Pages 45-54

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History

  • Receive Date: 19 September 2022
  • Revise Date: 07 November 2022
  • Accept Date: 24 November 2022
  • First Publish Date: 24 November 2022

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