The First Law for the Lorentzian Rotating Taub-NUT

Frodden, Ernesto; Hidalgo, Diego

doi:10.48550/arxiv.2109.07715

Cited by 3 publications

(5 citation statements)

References 31 publications

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“…As observed in [36], a simple computation shows that the integration on the Misner strings split into terms depending only either on S ∞ or on H in the following way:…”

Section: Black Hole First Lawmentioning

confidence: 82%

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Dual Charges for AdS Spacetimes and the First Law of Black Hole Mechanics

Godazgar¹,

Guisset²

2022

Preprint

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We apply the recent derivations of dual charges in asymptotically flat spacetimes to asymptotically locally AdS spacetimes. In contrast to the results in the flat case, in the AdS case with a Dirichlet boundary the dual charge contribution vanishes at the leading order. However, by focusing on the Taub-NUT-AdS solution, we show that nevertheless, more generally, the dual charge is non-vanishing and corresponds to the NUT parameter. We propose a complex first law of black mechanics in the presence of NUT charges that is inspired by the naturally complex nature of the charges derived using Hamiltonian methods.

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“…As observed in [36], a simple computation shows that the integration on the Misner strings split into terms depending only either on S ∞ or on H in the following way:…”

Section: Black Hole First Lawmentioning

confidence: 82%

“…where Λ is the cosmological constant. The existence of dual global charges naturally leads to an investigation of the first law of black holes in the presence of NUT charges within the context of the covariant phase space formalism; a subject of recent interest [24,25,[33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Dual Charges for AdS Spacetimes and the First Law of Black Hole Mechanics

Godazgar¹,

Guisset²

2022

Preprint

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“…These gravitational instantons will certainly exhibit interesting new geometric and topological features healing the pathologies associated with the Misner string and the closed timelike curves [56]. Additionally, either in their Lorentzian or Euclidean versions, our solutions offer an interesting arena to study black hole thermodynamic [60][61][62][63][64][65]. It would be worth studying the existence of phase transitions in the presence of scalar fields not only in standard black hole thermodynamic but also in the context of black hole chemistry [66,67] and to understand how the presence or absence of the Misner string affects the usual charges.…”

Section: Conclusion and Further Developmentsmentioning

confidence: 99%

(A)dS Taub-NUT and exact black bounces with scalar hair

Barrientos¹,

Cisterna²,

Mora³

et al. 2022

Preprint

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We present a new family of exact four-dimensional Taub-NUT spacetimes in Einstein-Λ theory supplemented with a conformally coupled scalar field exhibiting a power-counting superrenormalizable potential. Our configurations are constructed in the following manner: A solution of a conformally coupled theory with a conformal potential, henceforth the seed (gµν , φ), is transformed by the action of a specific change of frame in addition with a simultaneous shift of the seed scalar field. The conformal factor of the transformation and the shift are both affine functions of the original scalar φ. The new configuration, (ḡµν , φ), solves the field equations of a conformally coupled theory with the extended aforementioned super-renormalizable potential, this under the presence of an effective cosmological constant. The new spectrum of solutions is notoriously enhanced with respect to the original seed containing regular black holes, wormholes, and bouncing cosmologies. We highlight the existence of two types of exact black bounces given by de Sitter and anti-de Sitter geometries that transit across three different configurations each. The de Sitter geometries transit from a regular black hole with event and cosmological horizons to a bouncing cosmology that connects two de Sitter Universes with different values of the asymptotic cosmological constant. An intermediate phase, which might be represented by two different configurations, takes place. These configurations are given by a de Sitter wormhole or by a bouncing cosmology that connects two de Sitter Universes, both under the presence of a cosmological horizon. On the other hand, the anti-de Sitter geometries transit from a regular black hole with inner and event horizons to a wormhole that connects two asymptotic boundaries with different constant curvatures. The intermediate phase is given in this case by an anti-de Sitter regular black hole with a single event horizon. This regular black hole might appear in two different configurations. As a regular anti-de Sitter black hole inside of an anti-de Sitter wormhole or as an anti-de Sitter regular black hole with a cosmological bounce in its interior. All these geometries are shown to be smoothly connected by the mass parameter only. Other standard stationary black holes, bouncing cosmologies and wormholes are also identified.

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“…In recent years, the thermodynamic properties of the Lorentzian Taub-NUT spacetime have attracted a lot of attention [1][2][3][4][5][6][7][8][9][10][11][12]. In particular, in our previous work [13], we have advocated a new idea that "the NUT charge is a thermodynamical multi-hair" and put forward a simple, systematic way to study the consistent thermodynamics of all four-dimensional NUT-charged spacetimes.…”

Section: Introductionmentioning

confidence: 99%

“…The consistent thermodynamic first law and Bekenstein-Smarr mass formulae of these NUTcharged spacetimes are deduced by first deriving a new meaningful Christodoulou-Ruffini-type squared-mass formula satisfied by the four-dimensional NUT-charged spacetimes with the imported new secondary hair J N = MN. It is worth noting that there is no derivation of the Christodoulou-Ruffinitype squared-mass formula [14,15] in the previous works [1][2][3][4][5][6][7][8][9][10][11][12]. As the fact that demonstrated in Ref.…”

Section: Introductionmentioning

confidence: 99%

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

Wu,

2022

Preprint

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The First Law for the Lorentzian Rotating Taub-NUT

Cited by 3 publications

References 31 publications

Dual Charges for AdS Spacetimes and the First Law of Black Hole Mechanics

Dual Charges for AdS Spacetimes and the First Law of Black Hole Mechanics

(A)dS Taub-NUT and exact black bounces with scalar hair

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

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