Charged accelerating AdS black hole of $f(R)$ gravity and the Joule-Thomson expansion

Abstract

In this paper, the thermodynamical properties and the phase transitions of the charged accelerating anti-de Sitter (AdS) black holes are investigated in the framework of the $f(R)$ gravity. By studying the conditions for the phase transitions, it has been shown that the $P-V$ criticality and the van der Waals like phase transitions can be achieved for $T\approx T_c$. The Joule-Thomson expansion effects are also examined for the charged accelerating AdS black holes of the $f(R)$ gravity. Here, we derive the inversion temperatures as well as the inversion curves. Then, we determine the position of the reverse point for different values of mass $M$ and parameter $b$ for the corresponding black hole. At this point, the Joule-Thompson coefficient is zero. So, in such case, we can say that such point is very important for the finding of cooling - heating regions. Finally, we calculate the ratio of minimum inversion temperature and critical temperature for such black hole.

19 pages, 7 figures

References in corpus (19)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Joule-Thomson Expansion of Charged AdS Black Holes
• Interpreting the C-metric
• Higher dimensional charged $f(R)$ black holes
• Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole
• Logarithmic corrections of charged hairy black hole in (2+1) dimension
• Thermodynamics of Regular Accelerating Black Holes
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
• Fake Supersymmetry and Extremal Black Holes
• Hawking-Page phase transition in BTZ black hole revisited
• Radiation from accelerated black holes in an anti-de Sitter universe
• Accelerating Black Hole Chemistry
• Thermal Fluctuations in a Hyperscaling Violation Background
• Clustering of Galaxies with f(R) gravity
• Thermogeometric phase transition in a unified framework
• Hawking-Page Phase Transition of black Dp-branes and R-charged black holes with an IR Cutoff
• Charged accelerating black hole in $f(R)$ gravity
• $P-V$ Criticality In the Extended Phase Space of Charged Accelerating AdS Black Holes

Cited by in corpus (2)

• Modified Cosmic Chaplygin AdS Black Hole
• $f(R)$ Gravity Effects on Charged Accelerating AdS Black Holes using Holographic Tools