Abstract
In this paper, we have studied the geometry of the five-dimensional black hole solutions in (a) Einstein–Yang–Mills–Gauss–Bonnet theory and (b) Einstein–Maxwell–Gauss–Bonnet theory with a cosmological constant for spherically symmetric space time. Formulating the Ruppeiner metric, we have examined the possible phase transition for both the metrics. It is found that depending on some restrictions phase transition is possible for the black holes. Also for Λ = 0 in Einstein–Gauss–Bonnet black hole, the Ruppeiner metric becomes flat and hence the black hole becomes a stable one.
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Biswas, R., Chakraborty, S. The geometry of the higher dimensional black hole thermodynamics in Einstein–Gauss–Bonnet theory. Gen Relativ Gravit 42, 1311–1322 (2010). https://doi.org/10.1007/s10714-009-0907-6
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DOI: https://doi.org/10.1007/s10714-009-0907-6