Thermodynamics of BTZ Black Holes in Gravity's Rainbow
In this paper, we will deform the thermodynamics of a BTZ black hole from rainbow
functions in gravity's rainbow. The rainbow functions will be motivated from results
in loop quantum gravity and Noncommutative geometry. It will be observed that the thermodynamics
gets deformed due to these rainbow functions. However, the Gibbs free energy does
not get deformed due to these rainbow functions, and so the critical behaviour from Gibbs
does not change by this deformation.
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