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The Thermodynamic Geometry and Phase Transition of the Plane Symmetric Black Hole

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Abstract

In this paper, we investigate the thermodynamic properties and the thermodynamic geometry of the plane symmetric black hole. We obtain the thermodynamic curvature based on the Weinhold geometry curvature, Ruppeiner geometry curvature and the Quevedo curvature. We find the Weinhold curvature always equals to zero and there is a phase transition point for the Ruppeiner curvature. The Quevedo curvature produces a same phase structure as the heat capacity.

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Acknowledgements

This work is supported by the Scientific and Technological Foundation of Chongqing Municipal Education Commission (Grant no. KJ100706).

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  1. Department of Physics, College of Computer Science and Electronic Information Engineering, Chongqing Technology and Business University, Chongqing, 400067, China

    Yi-Wen Han, Gang Chen & Yun Hong

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  1. Yi-Wen Han
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  2. Gang Chen
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  3. Yun Hong
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Correspondence to Yi-Wen Han.

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Han, YW., Chen, G. & Hong, Y. The Thermodynamic Geometry and Phase Transition of the Plane Symmetric Black Hole. Int J Theor Phys 58, 2384–2391 (2019). https://doi.org/10.1007/s10773-019-04130-7

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