Overspinning naked singularities in 
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 spacetime

Briceño, Matías; Martínez, Cristián; Zanelli, Jorge

doi:10.1103/physrevd.104.044023

Cited by 7 publications

(2 citation statements)

References 25 publications

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“…However, the system was not investigated there in the light of classical and quantum symmetries for special values of the parameter α, and this is just a particular case in our analysis. On the other hand, note that the same classical trajectories as we obtained for the case (0 < α < 1, Ω = 0) were recently observed for geodesics in the conical BTZ spacetimes [61], and it would be interesting to see if the trajectories in the case Ω = 0 can be related to the dynamics in such a kind of spacetimes as well.…”

Section: Jhep01(2022)179supporting

confidence: 83%

Dynamics, symmetries, anomaly and vortices in a rotating cosmic string background

Inzunza

Plyushchay

2022

J. High Energ. Phys.

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Non-relativistic conformally invariant systems in a rotating cosmic string (conical) spacetime are analyzed at the classical and quantum levels by means of the gravitoelectromagnetic interpretation of the background. Solutions of the equations of motion are found by employing a local canonical transformation, that leads to their natural interpretation in terms of Riemann surfaces. The cone parameter α and the angular velocity Ω of the background determine the existence of hidden symmetries. Globally defined higher order integrals associated with perihelion of geodesic orbits appear at rational values of α. For the harmonic oscillator system with frequency ω, the integrals responsible for the trajectory closure arise only for rational values of α and |γ| = |Ω/ω|, with |γ| = 1 corresponding to the Landau problem. We face a quantum anomaly problem since the hidden symmetry operators can only be constructed when α is integer. Such operators are non-local in the case of the free particle. For the harmonic oscillator, the symmetry generators are obtained with the help of the conformal bridge transformation. We also study a multi-particle version of the harmonic oscillator system with |γ| = 1 using the mean-field theory and find that the emerging vortex structure respects a singular point of the background.

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Section: Jhep01(2022)179supporting

confidence: 83%

Dynamics, symmetries, anomaly and vortices in a rotating cosmic string background

Inzunza

Plyushchay

2022

J. High Energ. Phys.

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“…Upon continuation to Lorentzian signature there are two braches of "healthy" solutions: rotating BTZ black holes and conical defects; see e.g. [36].…”

Section: Gravity Solutionsmentioning

confidence: 99%

Refining the Cutoff 3d Gravity / $T\bar{T}$ Correspondence

Kraus¹,

Monten²,

Roumpedakis³

2022

Preprint

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Pure gravity in AdS3 is a theory of boundary excitations, most simply expressed as a constrained free scalar with an improved stress tensor that is needed to match the Brown-Henneaux central charge. Excising a finite part of AdS gives rise to a static gauge Nambu-Goto action for the boundary graviton. We show that this is the T T deformation of the infinite volume theory, as the effect of the improvement term on the deformed action can be absorbed into a field redefinition. The classical gravitational stress tensor is reproduced order by order by the T T trace equation. We calculate the finite volume energy spectrum in static gauge and find that the trace equation imposes sufficient constraints on the ordering ambiguities to guarantee agreement with the light-cone gauge prediction. The correlation functions, however, are not completely fixed by the trace equation. We show how both the gravitational action and the T T deformation allow for finite improvement terms, and we match these to the undetermined total derivative terms in Zamolodchikov's point splitting definition of the T T operator.

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A note on the admissibility of complex BTZ metrics

Basile

Campoleoni

Raeymaekers

2023

J. High Energ. Phys.

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We perform a nontrivial check of Witten’s recently proposed admissibility criterion for complex metrics. We consider the ‘quasi-Euclidean’ metrics obtained from continuing the BTZ class of metrics to imaginary time. Of special interest are the overspinning metrics, which are smooth in this three-dimensional context. Their inclusion as saddle points in the gravitational path integral would lead to puzzling results in conflict with those obtained using other methods. It is therefore encouraging that the admissibility criterion discards them. For completeness, we perform an analysis of smoothness and admissibility for the family of quasi-Euclidean BTZ metrics at all values of the mass and angular momentum.

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Overspinning naked singularities in AdS3 spacetime

Cited by 7 publications

References 25 publications

Dynamics, symmetries, anomaly and vortices in a rotating cosmic string background

Dynamics, symmetries, anomaly and vortices in a rotating cosmic string background

Refining the Cutoff 3d Gravity / $T\bar{T}$ Correspondence

A note on the admissibility of complex BTZ metrics

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