Negative spectrum of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>black hole

Mišković, Olivera; Zanelli, Jorge

doi:10.1103/physrevd.79.105011

Cited by 39 publications

(65 citation statements)

References 17 publications

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“…Couplings of this sort have been considered in the past in various settings, including supergravity [12], in 2+1 AdS gravity [13], and higher dimensions [14,15,16,17]. In our fourdimensional spacetime there are two types of branes that can be coupled in this manner: 0-branes (point particles) and 2-branes (ordinary two-dimensional surfaces evolving in spacetime).…”

Section: Introductionmentioning

confidence: 99%

Optical properties of aθvacuum

Huerta

Zanelli

2012

Phys. Rev. D

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Chern-Simons (CS) forms generalize the minimal coupling between gauge potentials and point charges, to sources represented by charged extended objects (branes). The simplest example of such a CS-brane coupling is a domain wall coupled to the electromagnetic CS three-form. This describes a topologically charged interface where the CS form AdA is supported, separating two three-dimensional spatial regions in 3+1 spacetime. Electrodynamics at either side of the brane is described by the same Maxwell's equations, but those two regions have different vacua, characterized by a different value of the θ parameter multiplying the Pontryagin form F ∧ F . The θ-term is the abelian version of the concept introduced by 't Hooft for the resolution of the U (1) problem in QCD. We point out that CS-generalized classical electrodynamics shows new phenomena when two neighboring regions with different θ-vacua are present. These topological effects result from surface effects induced by the boundary and we explore the consequences of such boundary effects for the propagation of the electromagnetic field in Maxwell theory. Several features, including optical and electrostatic/magnetostatic responses, which may be observable in condensed matter systems, like topological insulators, are discussed.

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Section: Introductionmentioning

confidence: 99%

Optical properties of aθvacuum

Huerta

Zanelli

2012

Phys. Rev. D

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“…Note that, with this parameterization, the metric is well-defined in the limit a 2 = b 2 , although the extremal case is obtained by a different identification in AdS space [8]. However, this is a peculiarity of the three-dimensional metric only.…”

Section: Spinning 0-branementioning

confidence: 90%

“…The construction is analogous to the one that yields the spinning black hole in three dimensions [4]. This method was employed to construct the static 0-brane (point particle) in 3 dimensions [8], yielding particle solutions whose mass spectrum extends the black hole mass parameter to negative values.…”

Section: Three-dimensional 0-branesmentioning

confidence: 99%

“…The periodicity of the coordinate φ in AdS space implies certain identifications of points in the embedding space, φ φ + 2π ⇔ φ 05 φ 05 + 2πb 1 , 8) and similarly for θ, θ θ + 2π ⇔ φ 05 φ 05 + 2πb 2 ,…”

Section: Identificationsmentioning

confidence: 99%

“…Even in a three-dimensional theory, these singularities correspond to topological defects at the positions of external current insertions that couple in a gauge-invariant way to three-dimensional AdS gravity. The angular deficit at the singularities account for the negative part of the BTZ mass spectrum [8], filling the gap between the vacuum and the massless BTZ black hole.…”

Section: Introductionmentioning

confidence: 99%

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Geometry and stability of spinning branes in AdS gravity

et al. 2011

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The geometry of spinning codimension-two branes in AdS spacetime is analyzed in three and higher dimensions. The construction of non-extremal solutions is based on identifications in the covering of AdS space by isometries that have fixed points. The discussion focuses on the cases where the parameters of spinning states can be related to the velocity of a boosted static codimension-two brane. The resulting configuration describes a single spinning brane, or a set of intersecting branes, each one produced by an independent identification. The nature of the singularity is also examined, establishing that the AdS curvature acquires one in the form of a Dirac delta distribution. The stability of the branes is studied in the framework of Chern-Simons AdS supergravity. A class of branes, characterized by one free parameter, are shown to be stable when the BPS conditions are satisfied. In 3D, these stable branes are extremal, while in higher dimensions, the BPS branes are not the extremal ones.

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Accelerating black hole in 2+1 dimensions and 3+1 black (st)ring

Astorino

2011

J. High Energ. Phys.

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A C-metric type solution for general relativity with cosmological constant is presented in 2+1 dimensions. It is interpreted as a three-dimensional black hole accelerated by a strut. Positive values of the cosmological constant are admissible too. Some embeddings of this metric in the 3+1 space-time are considered: accelerating BTZ black string and a black ring where the gravitational force is sustained by the acceleration.Comment: 12 pages, 2 figures, JHEP 1101:114,201

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Negative spectrum of the2+1black hole

Cited by 39 publications

References 17 publications

Optical properties of aθvacuum

Optical properties of aθvacuum

Geometry and stability of spinning branes in AdS gravity

Accelerating black hole in 2+1 dimensions and 3+1 black (st)ring

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