Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase transitions and Geometrothermodynamics of Regular black holes   In this paper we study the thermodynamics and state space geometry of regular
black hole solutions such as Bardeen black hole, Ay\'{o}n-Beato and Garc\'{i}a
black hole, Hayward black hole and Berej-Matyjasek-Trynieki-Wornowicz black
hole. We find that all these black holes show second order thermodynamic phase
transitions(SOTPT) by observing discontinuities in heat capacity-entropy graphs
as well as the cusp type double point in free energy-temperature graph. Using
the formulation of geometrothermodynamics we again find the singularities in
the heat capacity of the black holes by calculating the curvature scalar of the
Legendre invariant metric.

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The categories of this paper are: atom-ph
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci