Exact black string solutions in three dimensions

Horne, James H.; Horowitz, Gary T.

doi:10.1016/0550-3213(92)90536-k

Cited by 235 publications

(411 citation statements)

References 19 publications

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“…Now, the entropy of the fivedimensional black hole (6) in the extremal limit is S = 2π 2 r 2 1 r 5 /4G 5 . Substituting the corresponding two-dimensional quantities into it, in particular G 5 = 2π 2 r 3 5 G 2 , we again find agreement with the formula (20) derived in [25].…”

supporting

confidence: 82%

“…(This type of transformation is, in fact, not new. It was also found by Horowitz and Welch [19], when they showed that the BTZ black hole is T-dual to a class of asymptotically flat three-dimensional black strings [20].) By exploiting this U-duality between the three-and higher-dimensional black holes, Sfetsos and Skenderis [21] have recently argued that Carlip's method in effect provides a way, if somewhat indirect, of microscopically computing the entropy of the four-and five-dimensional black holes.…”

mentioning

confidence: 52%

“…× U(1) [33,20], where the first factor characterises the space-time geometry [28] and the second factor its charge. The U-duality between these and the higher-dimensional black holes suggests that the latter are also governed by the same conformal field theories.…”

mentioning

confidence: 99%

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Statistical entropy of charged two-dimensional black holes

Teo

1998

Physics Letters B

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The statistical entropy of a five-dimensional black hole in Type II string theory was recently derived by showing that it is U-dual to the three-dimensional Bañados-Teitelboim-Zanelli black hole, and using Carlip's method to count the microstates of the latter. This is valid even for the non-extremal case, unlike the derivation which relies on D-brane techniques.In this letter, I shall exploit the U-duality that exists between the five-dimensional black hole and the two-dimensional charged black hole of McGuigan, Nappi and Yost, to microscopically compute the entropy of the latter. It is shown that this result agrees with previous calculations using thermodynamic arguments.

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confidence: 82%

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confidence: 52%

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Statistical entropy of charged two-dimensional black holes

Teo

1998

Physics Letters B

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“…(23). This clearly shows that, at r = 0, the x direction collapses and therefore we have to abandon the wormhole interpretation.…”

Section: Angular Magnetic Field Solutionsmentioning

confidence: 90%

Spacetimes with longitudinal and angular magnetic fields in third order Lovelock gravity

Dehghani

Bostani

2007

Phys. Rev. D

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We obtain two new classes of magnetic brane solutions in third order Lovelock gravity. The first class of solutions yields an (n + 1)-dimensional spacetime with a longitudinal magnetic field generated by a static source. We generalize this class of solutions to the case of spinning magnetic branes with one or more rotation parameters. These solutions have no curvature singularity and no horizons, but have a conic geometry. For the spinning brane, when one or more rotation parameters are nonzero, the brane has a net electric charge which is proportional to the magnitude of the rotation parameters, while the static brane has no net electric charge. The second class of solutions yields a spacetime with an angular magnetic field. These solutions have no curvature singularity, no horizon, and no conical singularity. Although the second class of solutions may be made electrically charged by a boost transformation, the transformed solutions do not present new spacetimes. Finally, we use the counterterm method in third order Lovelock gravity and compute the conserved quantities of these spacetimes. * email address: mhd@shirazu.ac.ir

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“…This is remarkable because, in particular, duality is exchanging singularity↔horizon [19]. Moreover, in simple extensions of this geometry to 3D, the geometry is a black string (in the sense that the singularity is not point like but one-dimensional) [20], [15] which is no longer selfdual. It is dual to another black string where now the singularity of one geometry is mapped to a regular surface in the asymptotically flat region of the other geometry and on which, contrary to the horizon, classical computations are dominant.…”

Section: Abelian T -Dualitymentioning

confidence: 99%

Duality and global symmetries

Quevedo

1998

Nuclear Physics B - Proceedings Supplements

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Duality symmetries are reviewed. A sufficient condition for duality is the existence of a global symmetry. This can be used as a guideline to systematically prove duality between different field theories. Bosonization and T -duality, for abelian and non-abelian global symmetries, are discussed in detail as well as duality for general antisymmetric tensor field theories. In this case, the presence of topological defects break the global symmetry but duality survives manifesting itself in a different way. Open questions and current limitations of this approach to prove all known dualities are discussed.To the hundreds of thousands of Guatemalan citizens who sacrificed their lives during more than three decades of civil war, especially to those I had the privilege to know and love, and who I now miss.

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Exact black string solutions in three dimensions

Cited by 235 publications

References 19 publications

Statistical entropy of charged two-dimensional black holes

Statistical entropy of charged two-dimensional black holes

Spacetimes with longitudinal and angular magnetic fields in third order Lovelock gravity

Duality and global symmetries

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