Black hole thermodynamics and heat engines in conformal gravity

Abstract

The extended phase space thermodynamics and heat engines for static spherically symmetric black hole solutions of four dimensional conformal gravity are studied in detail. It is argued that the equation of states (EOS) for such black holes is always branched, any continuous thermodynamical process cannot drive the system from one branch of the EOS into another branch. Meanwhile, the thermodynamical volume is bounded from above, making the black holes always super-entropic in one branch and may also be super-entropic in another branch in certain range of the temperature. The Carnot and Stirling heat engines associated to such black holes are shown to be distinct from each other. For rectangular heat engines, the efficiency always approaches zero when the rectangle becomes extremely narrow, and given the highest and lowest working temperatures fixed, there is always a maximum for the efficiency of such engines.

21 pages, 10 figures. To appear in IJMPD

References in corpus (12)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Impact of a global quadratic potential on galactic rotation curves
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Isolated critical point from Lovelock gravity
• Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
• Critical phenomena of static charged AdS black holes in conformal gravity
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces

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• Benchmarking Black Hole Heat Engines, II
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• Optical and Thermodynamic Signatures of Lorentz Symmetry Breaking in Bumblebee AdS Black Holes