Modified Cosmic Chaplygin AdS Black Hole

TL;DR

This paper introduces a new charged AdS black hole model with modified cosmic Chaplygin gas, analyzing its thermodynamics, stability, and efficiency as a heat engine, highlighting the impact of the cosmic parameter.

Contribution

It develops a novel solution for charged AdS black holes incorporating MCCG with two new parameters, and explores their thermodynamic properties and stability conditions.

Findings

Cosmic parameter enhances black hole stability.

Thermodynamic quantities are explicitly computed.

Black hole can operate as a heat engine with calculable efficiency.

Abstract

In this paper, we construct a new charged AdS black hole with modified cosmic Chaplygin gas (MCCG). In comparison to the previous model (modified Chaplygin AdS black hole) existed in the literature, we now have two new parameters: the cosmic parameter and the black hole's electric charge. We examine the asymptotically charged AdS black hole thermodynamics with MCCG under the assumption of a negative cosmological constant as a thermodynamics pressure. Using MCCG, we developed a new solution to Einstein's AdS black hole field equations.The mass parameter, volume, electric potential, entropy, and temperature of the charged AdS black hole have all been computed. We also study the various energy conditions for the MCCG as a source fluid of AdS black hole. For some restrictions on the involved parameters, we show that these conditions are met. Then, we study the thermodynamical stability, critical points, and Joule-Thompson expansion for the back hole obtained. We reveal that while the existence of cosmic parameter yields to a complete stable mode, its absence gives rise to some unstable regions. Then, using MCCG, we treat the obtained black hole's thermodynamics as a heat engine and calculate the work done as well as the heat engine's maximum efficiency in the Carnot cycle. The work done, the efficiency, and the Rankine cycle's efficiency are also investigated. All of the findings are graphically depicted and discussed.