2021
DOI: 10.1103/physrevd.103.126008
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Thermodynamic geometry of 5D R -charged black holes in extended thermodynamic space

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Cited by 16 publications
(11 citation statements)
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“…[51] has gained widespread acceptance due to its adaptability and simplicity. Consequently, it has been successfully employed to investigate the topological numbers associated with various wellknown black hole solutions [52][53][54][55][56][57][58][59][60][61][62][63][64][65]. However, the topological number of the accelerating black holes remains virgin territory, it deserves to be explored deeply, which motivates us to conduct the present work.…”
Section: Introductionmentioning
confidence: 99%
“…[51] has gained widespread acceptance due to its adaptability and simplicity. Consequently, it has been successfully employed to investigate the topological numbers associated with various wellknown black hole solutions [52][53][54][55][56][57][58][59][60][61][62][63][64][65]. However, the topological number of the accelerating black holes remains virgin territory, it deserves to be explored deeply, which motivates us to conduct the present work.…”
Section: Introductionmentioning
confidence: 99%
“…It has been argued that the interaction type in IBHs (or SBHs) near the first-order phase transition line, differs for VdW-like PT and RPT. In the VdW-like case, a transition between attractive and repulsive interactions can be found [37,42,43,45,46] whereas for the RPT case the dominant interaction is always attractive [44,70] or repulsive [71]. In other words, in the RPT case, the IBHs (or SBHs) behave like bosonic gas or fermionic gas, while in the VdW-like PT case, they behave like quantum anyon gas.…”
Section: B Reentrant Phase Transition Casementioning
confidence: 99%
“…This result is considerably distinct from that of van der Waals systems, which only carry attractive interaction between their microscopic molecules [37]. Such a method combining phase transition and Ruppeiner geometry has also been used to investigate the microstructures of several other black hole systems [39][40][41][42][43][44][45][46][47].…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, the study of the topology of black holes has attracted much interest and attention, including light rings [1][2][3][4][5], timelike circular orbits [6,7], thermodynamics [8][9][10][11][12][13][14][15][16][17], phase transitions [18][19][20][21][22][23], as well as thermodynamic topological classifications [24][25][26][27][28][29][30][31][32][33][34][35][36][37], and so on. In particular, a novel approach has been recently suggested in Ref.…”
Section: Introductionmentioning
confidence: 99%
“…[24] quickly gained widespread acceptance. As a result, it was successfully applied to explore the topological numbers of several well-known black hole solutions [25][26][27][28][29][30][31][32][33][34][35][36], for examples, the static Gauss-Bonnet-AdS black holes [25], the static black hole in nonlinear electrodynamics [26], the Kerr and Kerr-Newman black holes [27], the Kerr-AdS and Kerr-Newman-AdS as well as three-dimensional BTZ black holes [28], some static hairy black holes [29], the dyonic black hole in nonlinear electrodynamics [30], the black hole in de Sitter spacetimes [31], and the black hole in massive gravity [32,33], the static dyonic AdS black holes in different ensembles [34], some Bardeen black holes [35], as well as the static Born-Infeld-AdS black holes [36]. Very recently, we have investigated the topological numbers for the cases of the four-dimensional Lorentzian Taub-NUT, Kerr-NUT, and Taub-NUT-AdS 4 spacetimes [37], and demonstrated that these spacetimes should be viewed as generic black holes from the viewpoint of the thermodynamic topological approach.…”
Section: Introductionmentioning
confidence: 99%