Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow

Abstract

In this paper, we will analyze a five-dimensional Yang-Mills black hole solution in massive gravity's rainbow. We will also investigate the flow of such a solution with scale. Then, we will discuss the scale dependence of the thermodynamics for this black hole. Also, we study the criticality in the extended phase space by treating the cosmological constant as the thermodynamics pressure of this black hole solution. Moreover, we will use the partition function for this solution to obtaining corrections to the thermodynamics of this system and examine their key role on the behavior of corrected solutions.

21 pages with 13 captioned figures

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• Topological classification and black hole thermodynamics
• Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity
• PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
• Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity
• Klein-Gordon oscillators in traversable wormhole rainbow gravity spacetime: Conditional exact solvability via a throat radius and oscillator frequency correlation
• Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow
• Gamma Ray Bursters and Black Holes in the Gravity's Rainbow