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arXiv · 1803.04250

Effects of dark energy on $P-V$ criticality and efficiency of charged Rotational black hole

Kh. Jafarzade·J. Sadeghi
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Abstract

In this paper, we study $P-V$ criticality of Kerr-Newman $AdS$ black hole with a quintessence field. We calculate critical quantities and show that for the equation state parameter $ω= -\frac{1}{3}$, the obtained universal ratio ($\frac{P_{c}\upsilon_{c}}{T_{c}}$) is quite same as Kerr-Newman $AdS$ black hole without dark energy parameter. We investigate the influence of quintessence field $α$, equation state parameter $ω$ and angular momentum $J$ on the efficiency $η$. We find that $η$ is increased by increasing $J$ and $α$ and decreasing charge $Q$ of black hole. We show when $ω$ increases from $-1$ to $-\frac{1}{3}$ the efficiency decreases. Also we study ratio $\fracη{η_{C}}$ (which $η_{C}$ is the Carnot efficiency) and see that the second law of the thermodynamics is satisfied by special values of $J$ and $α$ and holds for any value of $Q$. We notice that in this case by increasing $ω$ from $-1$ to $-\frac{1}{3}$ the range of $J$ and $α$ increases.

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Kh. Jafarzade, J. Sadeghi. 2018-03-12. Effects of dark energy on $P-V$ criticality and efficiency of charged Rotational black hole. https://arxiv.org/abs/1803.04250

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