Thermal stability of hairy black holes

Chatzifotis, Nikos; Dorlis, Panagiotis; Mavromatos, Nikolaos; Papantonopoulos, Eleftherios

doi:10.1103/physrevd.107.084053

Cited by 16 publications

(3 citation statements)

References 66 publications

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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%

Topological classes of rotating black holes

2023

Phys. Rev. D

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In this paper, utilizing the generalized off-shell Helmholtz free energy, we explore the topological numbers of the four-dimensional static accelerating black hole and its AdS extension, as well as the static charged accelerating black hole and its AdS extension. Our analysis reveals a profound and significant impact of the acceleration parameter on the topological numbers associated with the static black holes. In addition, we demonstrate that the electric charge parameter has an important effect on the topological number of the static neutral accelerating black holes. What is more, we also indicate that the cosmological constant has a remarkable influence on the topological number of the static accelerating black hole.

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Section: Introductionmentioning

confidence: 99%

Topological classes of rotating black holes

2023

Phys. Rev. D

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“…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%

Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes

2022

Phys. Rev. D

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In this paper, we derive the consistent thermodynamics of the four-dimensional Lorentzian Reissner-Nordström-NUT (RN-NUT), Kerr-Newman-NUT (KN-NUT), and RN-NUT-AdS spacetimes in the framework of the (ψ − N )-pair formalism, and then investigate their topological numbers by using the uniformly modified form of the generalized off-shell Helmholtz free energy. We find that these solutions can be included into one of three categories of those well-known black hole solutions, which implies that these spacetimes should be viewed as generic black holes from the perspective of the topological thermodynamic defects. In addition, we demonstrate that although the existence of the NUT charge parameter seems to have no impact on the topological number of the charged asymptotically locally flat spacetimes, it has a remarkable effect on the topological number of the charged asymptotically locally AdS spacetime.

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Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition

Wu,

Gu,

Zhu

et al. 2024

J. High Energ. Phys.

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In this paper, we investigate, in the framework of the topological approach to black hole thermodynamics, using the generalized off-shell Helmholtz free energy, the topological numbers of the static multi-charge AdS black holes in four- and five-dimensional gauged supergravities. We find that the topological number of the static-charged AdS black holes in four-dimensional Kaluza-Klein (K-K) gauged supergravity theory is W = 0, while that of the static-charged AdS black holes in four-dimensional gauged –iX0X1-supergravity and STU gauged supergravity theories, and five-dimensional Einstein-Maxwell-dilaton-axion (EMDA) gauged supergravity and STU gauged supergravity, and five-dimensional static-charged AdS Horowitz-Sen black hole are both W = 1. Furthermore, we observe a novel temperature-dependent thermodynamic topological phase transition that can happen in the four-dimensional static-charged AdS black hole in EMDA gauged supergravity theory, the four-dimensional static-charged AdS Horowitz-Sen black hole, and the five-dimensional static-charged AdS black hole in K-K gauged supergravity theory. We believe that the novel temperature-dependent thermodynamic topological phase transition could help us better understand black hole thermodynamics and, further, shed new light on the fundamental nature of gauged supergravity theories.

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Thermal stability of hairy black holes

Cited by 16 publications

References 66 publications

Topological classes of rotating black holes

Topological classes of rotating black holes

Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes

Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition

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