Eur. Phys. J. Plus (2017) 132: 181
https://doi.org/10.1140/epjp/i2017-11501-2

Regular Article

Thermodynamics of rotating Kaluza-Klein black holes in gravity’s rainbow

Department of Physics and Astronomy, King Saud University, 11451, Riyadh, Saudi Arabia

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Received: 24 February 2017
Accepted: 29 March 2017
Published online: 25 April 2017

Abstract

In this paper, a four-dimensional rotating Kaluza Klien (K-K) black hole was deformed using rainbow functions derived from loop quantum gravity and non-commutative geometry. We studied the thermodynamic properties and critical phenomena of this deformed black hole. The deformed temperature and entropy showed the existence of a Planckian remnant. The calculation of Gibbs free energy G for the ordinary and deformed black holes showed that both share a similar critical behaviour.