Thermodynamics of Rotating Kaluza-Klein Black Holes in Gravity's Rainbow

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.

11 Pages, 6 fgures. admin note: text overlap with arXiv:1703.09617

References in corpus (13)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Holography of Dyonic Dilaton Black Branes
• Remnant for all Black Objects due to Gravity's Rainbow
• Absence of Black Holes at LHC due to Gravity's Rainbow
• Holographic Duals of Kaluza-Klein Black Holes
• Remnants of Black Rings from Gravity's Rainbow
• F(R) gravity's rainbow and its Einstein counterpart
• Gravitational Collapse in Gravity's Rainbow
• Black hole thermodynamics in Lovelock gravity's rainbow with (A)dS asymptote
• Mass and Thermodynamics of Kaluza-Klein Black Holes with Squashed Horizons
• Lifshitz flows in IIB and dual field theories
• Interpolating solution from AdS${}_5$ to hyperscaling violating Lifshitz space-time

Cited by in corpus (7)

• Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: gravity's rainbow
• Dirac ocillator in the cosmic string spacetime in the context of gravity's rainbow
• Thermal fluctuations of charged black holes in gravity's rainbow
• Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• $Ad{S}_4$ dyonic black holes in gravity's rainbow
• Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space