The first law for rotating NUTs

Bordo, Alvaro Ballon; Gray, Finnian; Hennigar, Robie A.; Kubizňák, David

doi:10.1016/j.physletb.2019.134972

Cited by 48 publications

(33 citation statements)

References 37 publications

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“…It is remarkable that, unlike some recent attempts [26][27][28][29][30][31], our fist law (10) and the Bekenstein-Smarr mass formula (11) attain their traditional forms which relate the global conserved charges (M; N; J n ) measured at infinity to those quantities (T; S; ψ h ; ω h ) evaluated at the horizon. At this step, it is quite reasonable to infer that all four laws of the usual black hole thermodynamics are applicable to the Taub-NUT spacetime, which should no longer bear the bad reputation of being "a counter example to almost anything."…”

Section: Derivation Of Differential and Integral Mass Formulasmentioning

confidence: 86%

“…In the following, we will derive various mass formulas of four-dimensional Taub-NUT-type spacetimes without imposing the time-periodicity condition, as was done in Refs. [26,28,30,31,[35][36][37][38]. We will also keep the Misner strings symmetrically present at the polar axis and only care about the conical singularities where fðrÞ ¼ 0, corresponding to the outer and inner horizons located at…”

Section: The Lorentzian Taub-nut Geometrymentioning

confidence: 99%

“…In sharp contrast with Refs. [26][27][28][29][30], here we neither insist that this law be obeyed nor require that the first law and the integral mass formula be consistent. This is a very natural product of the pure thermodynamic deduction.…”

Section: Adding a Nonzero Negative Cosmological Constant And Elementioning

confidence: 99%

“…In the above, the derived conjugate thermodynamic volume V is not equal toṼ ¼ 4πðr 2 h þ 3N 2 Þ=3 as given in Refs. [26][27][28][29]. If one prefers to use such a thermodynamic volume, then the dual (magnetic) mass M ¼ Nð1 þ 4g 2 N 2 Þ can be further introduced as an additional conserved charge into the differential and integral mass formulas:…”

Section: Adding a Nonzero Negative Cosmological Constant And Elementioning

confidence: 99%

“…In some recent attempts [26][27][28][29][30], the so-called "consistent thermodynamical first law" was pursued for the Lorentzian Taub-NUT-type spacetimes. However, these formulas could not really represent the actual first law from our viewpoint, since the importedψ-N pair (which was later called the "Misner gravitational charge") does not possess the conventional characteristics of global charges that are measured at infinity; rather, it combines the contributions of the Misner strings at the horizon, contrary to common wisdom.…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes

2019

Phys. Rev. D

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It is demonstrated that the generic four-dimensional Taub-Newman-Unti-Tamburino (Taub-NUT) spacetimes can be perfectly described in terms of three or four different kinds of thermodynamic hairs: the Komar mass (M ¼ m), the "angular momentum" (J n ¼ mn), the gravitomagnetic charge (N ¼ n), and/or the dual (magnetic) mass (M ¼ n). In other words, the NUT charge is a thermodynamic multihair which means that it simultaneously has both rotation-like and electromagnetic charge-like characteristics; this is in sharp contrast with the previous knowledge that it has only one physical feature, or that it is purely a single solution parameter. To arrive at this novel result, we put forward a simple, systematic way to investigate the consistent thermodynamic first law and Bekenstein-Smarr mass formulas of all fourdimensional spacetimes that contain a nonzero NUT charge, facilitated by first deriving a meaningful Christodoulou-Ruffini-type squared-mass formula. In this way, not only can the elegant Bekenstein-Hawking one-quarter area-entropy relation be naturally restored in the Lorentzian and Euclidian sectors of generic Taub-NUT-type spacetimes without imposing any constraint condition, but also the physical meaning of the NUT parameter as a poly-facet can be completely clarified in the thermodynamic sense for the first time.

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Section: Derivation Of Differential and Integral Mass Formulasmentioning

confidence: 86%

Section: The Lorentzian Taub-nut Geometrymentioning

confidence: 99%

Section: Adding a Nonzero Negative Cosmological Constant And Elementioning

confidence: 99%

Section: Adding a Nonzero Negative Cosmological Constant And Elementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes

2019

Phys. Rev. D

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Self duality in unconventional conformal supersymmetry

Alvarez,

Corral,

Zanelli

2024

J. High Energ. Phys.

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In this work, we study (anti-)self duality conditions in unconventional conformal supersymmetry. We focus on a theory constructed in a Townsend-MacDowell-Mansouri form for an SU(2, 2|N) gauge connection with matter fields in the adjoint representation. We find bosonic solutions that correspond to analytic gravitational instantons with nontrivial torsion. These configurations can be regarded as the torsional generalization of the Taub-NUT/Bolt-AdS and Eguchi-Hanson metric and they are (anti-)self-dual with respect to a generalized dual operator. We explore their global properties and show that they saturate a BPS bound.

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Gravitational dyonic amplitude at one-loop and its inconsistency with the classical impulse

Kim

Shim

2021

J. High Energ. Phys.

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The recent proposal [1, 2] of implementing electric-magnetic duality rotation at the level of perturbative scattering amplitudes and its generalisation to gravitational context where usual gravitational mass is rotated to the NUT parameter of the Taub-NUT spacetime opens up an interesting avenue for studying NUT-charged objects as dynamical entities, in contrast to the usual approach where NUT-charged objects are considered as a static background. We extend the tree-order analysis to one-loop order, and find a disagreement between geodesic motion on Taub-NUT background and impulse computation of scattering amplitudes. As a by-product of our analysis, we find a relation between tidal response parameters and resonance excitation parameters in the language of quantum field theory scattering amplitudes.

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The first law for rotating NUTs

Cited by 48 publications

References 37 publications

Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes

Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes

Self duality in unconventional conformal supersymmetry

Gravitational dyonic amplitude at one-loop and its inconsistency with the classical impulse

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