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Microstructure of five-dimensional neutral Gauss–Bonnet black hole in anti-de Sitter spacetime via \(P-V\) criticality

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Abstract

In this article, we analytically investigate the microstructure of a five-dimensional neutral Gauss–Bonnet black hole, in the background of anti-de Sitter spacetime, by using the scalar curvature of the Ruppeiner geometry constructed via adiabatic compressibility. The microstructure details associated with the small-large black hole phase transition are probed in the parameter space of pressure and volume. The curvature scalar shows similar properties for both phases of the black hole, it diverges at the critical point with a critical exponent 2, and approaches zero for extremal black holes. We show that the dominant interaction among black hole molecules is attractive. This study also confirms that the nature of the microstructure interaction remains unchanged during the small-large black hole phase transition, even though the microstructures are different for both phases.

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Acknowledgements

Authors NKA, ARCL and KH would like to thank U.G.C. Govt. of India for financial assistance under UGC-NET-SRF scheme. The research of MSA is supported by the National Postdoctoral Fellowship of the Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India, File No. PDF/2021/003491.

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Authors and Affiliations

  1. Department of Physics, National Institute of Technology Karnataka (NITK), Surathkal, Mangalore, 575 025, India

    A. Naveena Kumara, C. L. Ahmed Rizwan, Kartheek Hegde & K. M. Ajith

  2. Department of Physics, Indian Institute of Technology, Ropar, Rupnagar, Punjab, 140 001, India

    Md Sabir Ali

  3. Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur, West Bengal, 741246, India

    Md Sabir Ali

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  1. A. Naveena Kumara
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Correspondence to A. Naveena Kumara.

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Kumara, A.N., Rizwan, C.L.A., Hegde, K. et al. Microstructure of five-dimensional neutral Gauss–Bonnet black hole in anti-de Sitter spacetime via \(P-V\) criticality. Gen Relativ Gravit 55, 4 (2023). https://doi.org/10.1007/s10714-022-03050-y

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