Ultra-spinning Chow’s black holes in six-dimensional gauged supergravity and their properties

Wu, Di; Wu, Shuang-Qing

doi:10.1007/jhep11(2021)031

Cited by 12 publications

(5 citation statements)

References 50 publications

(69 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is worth mentioning that, in the present paper, all we have studied are rotating AdS black holes, whose rotation angular velocity is less than the speed of light (i.e., a < l). Therefore, the most related issue is to examine the correctness of our conjecture by investigating the topological numbers of the ultraspinning AdS black holes (i.e., a = l) [32][33][34][35][36][37] and the most rapidly rotating Kerr-AdS black holes (i.e., a > l) [38,39]. We hope to report related progress soon.…”

Section: Discussionmentioning

confidence: 99%

Topological classes of thermodynamics of rotating AdS black holes

Wu¹

2023

Preprint

View full text Add to dashboard Cite

In this paper, we investigate the topological numbers for the singly-rotating Kerr-AdS black holes in all dimensions and the four-dimensional Kerr-Newman-AdS black hole. We show that for uncharged AdS black holes, the rotation parameter has a significant impact on the topological number, and for rotating AdS black holes, the dimension of spacetimes has an important effect on the topological number. In addition, it indicates that the electric charge parameter has no impact on the topological number of rotating AdS black holes because of the four-dimensional Kerr-AdS and Kerr-Newman-AdS black holes have the same topological numbers. Furthermore, we propose a conjecture that, given an AdS black hole, the difference between its topological number and that of its corresponding non-AdS black hole is always unity.

show abstract

Section: Discussionmentioning

confidence: 99%

Topological classes of thermodynamics of rotating AdS black holes

Wu¹

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Consequently, it would be intriguing to There are one thermodynamically stable and one thermodynamically unstable four-dimensional static accelerating black hole for any value of τ. Obviously, the topological number is: explore deeper into the topological properties of black holes with unusual horizon topologies, such as planar [75], toroidal [76], hyperbolic [77], ultraspinning black holes [78][79][80][81][82][83][84][85][86][87], and NUT-charged spacetimes [88][89][90][91][92]. In Fig.…”

Section: A C-metricmentioning

confidence: 99%

Topological classes of rotating black holes

2023

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…1, we observe that the result of the Taub-NUT spacetime is the same as that of the Schwarzschild black hole, and it indicates that the NUT charge parameter seems to have no effect on the thermodynamic topological classification. Furthermore, it is interesting to explore the connection between geometric topology and thermodynamic topology, for instance, to investigate the topological number of the ultraspinning black holes [71][72][73][74][75][76][77][78] and their usual counterparts.…”

Section: Taub-nut Spacetimementioning

confidence: 99%

Classifying topology of consistent thermodynamics of four-dimensional Lorentzian NUT-charged spacetimes

Wu¹

2023

Preprint

View full text Add to dashboard Cite

In this paper, employing the uniform modified form of the generalized offshell Helmholtz free energy, we investigate the topological numbers for the whole class of four-dimensional NUT-charged spacetimes. We find that, while the topological numbers of almost all four-dimensional NUT-charged spacetimes (except the Taub-NUT spacetime and Kerr-NUT spacetime) vary depending on the values of the solution parameters, the entire class of four-dimensional NUT-charged spacetime solutions can still be classified as one of the three types of well-known black hole solutions. Thus, the whole class of four-dimensional NUT-charged spacetimes should be viewed as generic black holes from the viewpoint of the thermodynamic topological approach. Furthermore, the fourdimensional Reissner-Nordström-Taub-NUT (RN-NUT) spacetime, Kerr-Newman-NUT (KN-NUT) spacetime, and RN-NUT-AdS spacetime provide three counterexamples that are in sharp contrast to the conclusions reached in all previous works, which conclude that a black hole solution only has one certain topological number, independent of the values of the solution parameters. What is more, these topological numbers could help us unravel the mysteries of NUT-charged spacetimes with their so many peculiar properties and shed new light on the research of black hole thermodynamics.

show abstract

Ultra-spinning Chow’s black holes in six-dimensional gauged supergravity and their properties

Cited by 12 publications

References 50 publications

Topological classes of thermodynamics of rotating AdS black holes

Topological classes of thermodynamics of rotating AdS black holes

Topological classes of rotating black holes

Classifying topology of consistent thermodynamics of four-dimensional Lorentzian NUT-charged spacetimes

Contact Info

Product

Resources

About