Salwa Alsaleh

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.

GUP parameter and black-hole temperature

Motivated by a recent work of Scardigli, Lambiase and Vagenas (SLV), we derive the GUP parameter, i.e.

Thermodynamic and Holographic Information Dual to Volume

\alpha_{0}

Thermodynamics of BTZ black holes in gravity’s rainbow

, when the GUP has a linear and quadratic term in momentum. The value of the GUP parameter is obtained by conjecturing that the GUP-deformed black hole temperature of a Schwarzschild black hole and the modified Hawking temperature of a quantum-corrected Schwarzschild black hole are the same. The leading term in both cases is the standard Hawking temperature and since the corrections are considered as thermal, the modified and deformed expressions of temperature display a slight shift in the Hawking temperature. Finally, by equating the first correction terms, we obtain a value for the GUP parameter. In our analysis, the GUP parameter is not a pure number but depends on the ratio

Quantum fluctuations from thermal fluctuations in Jacobson formalism

m_{pl} /M

The GUP and quantum Raychaudhuri equation

with

Virtual black holes from the generalized uncertainty principle and proton decay

m_{pl}

Time-dependent strain in graphene

to be the Planck mass and

ER = EPR and non-perturbative action integrals for quantum gravity

M

Calculation of the effective Lande-g factors for entangled states in Hydrogen and Hydrogen-like atoms

the black hole mass.