Abstract
Quantum fluctuation effects have an irrefutable role in high energy physics. Such fluctuation can be often regarded as a correction of infrared (IR) limit. In this paper, the effects of the first-order correction of entropy, caused by thermal fluctuation, on the thermodynamics of charged black holes in gravity's rainbow will be discussed. It will be shown that such correction has profound contributions to high energy limit of thermodynamical quantities, stability conditions of the black holes and interestingly has no effect on thermodynamical phase transitions. The coupling between gravity's rainbow and the first-order correction will be addressed. In addition, the measurement of entropy as a function of fluctuation of temperature will be done and it will be shown that de Sitter (dS) case enforces an upper limit on the values of temperature and produces cyclic like diagrams. While for the anti-de Sitter (AdS) case, a lower limit on the entropy is provided and although for special cases a cyclic like behavior could be observed, no upper or lower limit exists for the temperature. In addition, a comparison between non-correction and correction included cases on the thermodynamical properties of solutions will also be discussed and the effects of the first-order correction will be highlighted. It will be shown that the first-order correction provides the solutions with larger classes of thermal stability conditions which may result into existence of a larger number of thermodynamical structures for the black holes.
Highlights
Finding a consistent quantum theory of gravity is one of the interesting subjects in physics
The place of the root is an increasing function of the correction parameter. This means that comparing to uncorrected version, in the presence of first-order correction, the region of positivity of mass, internal energy, is bigger which indicates that physical black holes with larger horizon are obtainable in the presence of this correction
We have investigated the effects of the first-order correction on thermodynamical behavior of the 4-dimensional charge black holes in the presence of gravity’s rainbow
Summary
Finding a consistent quantum theory of gravity is one of the interesting subjects in physics. The effects of rainbow functions on the geodesics around the black holes have been studied in Ref.[45] Another interesting result of this gravity is related to the FRW cosmology in which it was shown that employing this formalism. The various approaches, namely, field theory methods [62, 63], quantum geometry techniques [64, 65], general statistical mechanical arguments [66] and Cardy formula [67] had confirmed that leading-order corrections to the entropy originated due to the thermal fluctuations are logarithmic in nature The consequences of these corrections on the various black hole thermodynamics have been studied with great interests [68,69,70,71].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
