A general black string and its microscopics

Compère, Geoffrey; Buyl, Sophie de; Stotyn, Sean; Virmani, Amitabh

doi:10.1007/jhep11(2010)133

Cited by 25 publications

(47 citation statements)

References 50 publications

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“…Several of the ingredients used to obtain (20) in e.g. [5,28], are based on features that black holes do not share with their ring cousins.…”

Section: Discussionmentioning

confidence: 99%

“…And the third class, are electrically and magnetically charged black string [20]. These are solution of minimal supergravity where Q ≡ Q i and q ≡ q i and there are two independent rotation parameters.…”

Section: Definitionsmentioning

confidence: 99%

“…that is satisfied for all known 5d black rings [15][16][17], black strings [20] and d-dimensional black holes [23] (as well as AdS-black holes [24]). To illustrate our computations we present three examples.…”

Section: First Law Of Black Holes Inner Mechanicsmentioning

confidence: 99%

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Universal properties and the first law of black hole inner mechanics

2012

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We show by explicit computations that the product of all the horizon areas is independent of the mass, regardless of the topology of the horizons. The universal character of this relation holds for all known five dimensional asymptotically flat black rings, and for black strings. This gives further evidence for the crucial role that the thermodynamic properties at each horizon play in understanding the entropy at the microscopic level. To this end we propose a "first law" for the inner Cauchy horizons of black holes. The validity of this formula, which seems to be universal, was explicitly checked in all cases.

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“…Several of the ingredients used to obtain (20) in e.g. [5,28], are based on features that black holes do not share with their ring cousins.…”

Section: Discussionmentioning

confidence: 99%

Section: Definitionsmentioning

confidence: 99%

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Universal properties and the first law of black hole inner mechanics

2012

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“…The solution (2.13) with z ∈ R coincides with the decoupling (near-horizon) limit of the general five-dimensional black string [11]. With z periodically identified, the solution (2.13) may be interpreted as a NAF black ring rotating along the S 1 .…”

Section: A Btz Solutionmentioning

confidence: 94%

Bertotti-Robinson and soliton string solutions ofD=5minimal supergravity

et al. 2014

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We report on a series of new solutions to five-dimensional minimal supergravity. Our method applies to space-times with two commuting Killing symmetries and consists in combining dimensional reduction on two-spaces of constant curvature with reduction on a two-torus. The first gives rise to various generalized Bertotti-Robinson solutions supported by electric and magnetic fluxes, which presumably describe the near-horizon regions of black holes and black rings (strings). The second provides generating techniques based on U-duality of the corresponding three-dimensional sigma model. We identify duality transformations relating the above solutions to asymptotically flat ones and obtain new globally regular dyonic solitons. Some new extremal asymptotically flat multi-center solutions are constructed too. We also show that geodesic solutions of three-dimensional sigma models passing through the same target space point generically split into disjoint classes which cannot be related by the isotropy subgroup of U-duality.

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“…Its natural matrix representation is given in terms of 3 × 3 (pseudo)unitary matrices. The G 2(2) coset was extensively explored recently as a tool for solution generation [5,[15][16][17] in MSG5. Fruitful for this purpose is the novel 7 × 7…”

Section: Introductionmentioning

confidence: 99%

New coset matrix for D = 6 self-dual supergravity

Clément

Gal’tsov

2013

J. High Energ. Phys.

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Toroidal reduction of minimal six-dimensional supergravity, minimal fivedimensional supergravity and four-dimensional Einstein-Maxwell gravity to three dimensions gives rise to a sequence of cosets O(4, 3)/(O(4) × O(3)) ⊃ G 2(2) /(SU(2) × SU(2)) ⊃ SU(2, 1)/S(U(2) × U(1)) which are invariant subspaces of each other. The known matrix representations of these cosets, however, are not suitable to realize these embeddings which could be useful for solution generation. We construct a new representation of the largest coset in terms of 7 × 7 real symmetric matrices and show how to select invariant subspaces corresponding to lower cosets by algebraic constraints. The new matrix representative may be also directly applied to minimal five-dimensional supergravity. Due to full O(4, 3) covariance it is simpler than the one derived by us previously for the coset G 2(2) /(SU(2) × SU(2)).

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A general black string and its microscopics

Cited by 25 publications

References 50 publications

Universal properties and the first law of black hole inner mechanics

Universal properties and the first law of black hole inner mechanics

Bertotti-Robinson and soliton string solutions ofD=5minimal supergravity

New coset matrix for D = 6 self-dual supergravity

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