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

Wu, Di; Wu, Shuang-Qing

doi:10.1103/physrevd.105.124013

Cited by 22 publications

(11 citation statements)

References 116 publications

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“…One could for example promote to thermodynamic objects the cosmological constant ℓ [65][66][67][68][69] and Newton constant G [70,71] but perhaps more interesting would be to include a non-zero NUT parameter N . The thermodynamics of this parameter have been the subject of much recent study [59,[72][73][74][75][76][77][78][79][80] and we note that the conical singularity structure we dealt with in this work via the covariant phase space is remarkably similar to that of the Taub-NUT-AdS as discussed in [59], with the difference being that the NUT charge introduces Misner strings rather than cosmic strings along the poles of the constant (t, r) surfaces. It would be interesting to combine these techniques to derive the thermodynamics for the entire class of solutions.…”

Section: Discussionmentioning

confidence: 79%

The Significance of the Public Private University Policy

Kim¹

2020

Kyung Hee Law Journal

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We study the charges and first law of thermodynamics for accelerating, nonrotating black holes with dyonic charges in AdS 4 using the covariant phase space formalism. In order to apply the formalism to these solutions (which are asymptotically locally AdS and admit a non-smooth conformal boundary I ) we make two key improvements: 1) We relax the requirement to impose Dirichlet boundary conditions and demand merely a well-posed variational problem. 2) We keep careful track of the codimension-2 corner term induced by the holographic counterterms, a necessary requirement due to the presence of "cosmic strings" piercing I . Using these improvements we are able to match the holographic Noether charges to the Wald Hamiltonians of the covariant phase space and derive the first law of black hole thermodynamics with the correct "thermodynamic length" terms arising from the strings. We investigate the relationship between the charges imposed by supersymmetry and show that our first law can be consistently applied to various classes of non-supersymmetric solutions for which the cross-sections of the horizon are spindles.

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Section: Discussionmentioning

confidence: 79%

The Significance of the Public Private University Policy

Kim¹

2020

Kyung Hee Law Journal

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“…It is emphasized there that the NUT charge exhibits the two-fold facial features: rotation-like and electric-charge-like characters. Quite recently, it is demonstrated [22,23] that our paradigm also works very well in the case of the higher dimensional static RN-Taub-NUT-AdS spacetimes [28,29].…”

Section: Introductionmentioning

confidence: 95%

“…In recent years, there is a great deal of interest in exploring consistent thermodynamics of the Lorentzian Taub-NUT spacetimes in four dimensions [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] and higher even-dimensions [22,23]. A most popular method advocated first in [3] to derive the mass formula relies on the Komar integration where the integral path is split into different patches and consisted of two Misner string tubes, so that the contribution of the Misner strings to the mass formulae is inlet via the Ψ − N ("Misner gravitational charge") pair [1,2,3,4,5,6,7,8].…”

Section: Introductionmentioning

confidence: 99%

“…Although we [22,23] have taken the first step in formulating the consistent mass formulae of the higher even-dimensional Lorentzian Taub-NUT spacetimes, the electric-neutralized solutions presented in Refs. [28,29] studied there can be viewed essentially as the special cases where all the NUT-charge parameters in the most generic multi-NUTty (AdS) solutions [30,31] are set to equal.…”

Section: Introductionmentioning

confidence: 99%

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Revisiting mass formulae of the four-dimensional Reissner-Nordström-NUT-AdS solutions in a different metric form

Wu¹,

Wu²

2022

Preprint

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Recently, the so-called "consistent thermodynamics" of the Lorentzian Reissner-Nordström (RN)-NUT-AdS 4 spacetimes has been pursued by a lot of efforts via different means. Among these attempts, we had proposed a novel idea that "The NUT charge is a thermodynamical multi-hair" to successfully tackle with the subject. In this paper, we will adopt this strategy to reconsider the mass formulae of the RN-NUT-AdS 4 solutions but written in an alternative form, which had not been studied before in any existing literatures and could be a most appropriate ansatz for the higher dimensional multiply NUTty-charged AdS spacetimes without any constraint condition. Here, we shall discuss two different possible cases for the Christodoulou-Ruffini-like squared-mass formula and the first law as well as the Bekenstein-Smarr mass formula by considering two different choices for the secondary hair: J n = Mn and J N = MN, respectively. For the sake of generality, we have introduced a dimensionless parameter w into the constant factor Ξ in the solution expression so that when w = 1, all obtained results can reproduce those ones delivered in our previous work.

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“…The third topic is to investigate the topological number of the KN-NUT spacetime and the RN-NUT-AdS spacetime via the modified form of the generalized Gibbs free energy. The fourth topic is to extend the present work to the more general dyonic [17] and/or higher-dimensional [18,19] cases. We hope to report related progress in these directions soon.…”

Section: Conclusion and Outlooksmentioning

confidence: 99%

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

Wu¹

2023

Preprint

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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.

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

Cited by 22 publications

References 116 publications

The Significance of the Public Private University Policy

The Significance of the Public Private University Policy

Revisiting mass formulae of the four-dimensional Reissner-Nordström-NUT-AdS solutions in a different metric form

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

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