Article

Charged Rotating Kaluza-Klein Black Holes in Five Dimensions

Physical review D: Particles and fields (Impact Factor: 4.86). 01/2008; 77(4). DOI: 10.1103/PHYSREVD.77.044040
Source: arXiv

ABSTRACT

We construct a new charged rotating Kaluza-Klein black hole solution in the five-dimensional Einstein-Maxwell theory with a Chern-Simon term. The features of the solutions are also investigated. The spacetime is asymptotically locally flat, i.e., it asymptotes to a twisted $\rm S^1$ bundle over the four-dimensional Minkowski spacetime. The solution describe a non-BPS black hole rotating in the direction of the extra dimension. The solutions have the limits to the supersymmetric black hole solutions, a new extreme non-BPS black hole solutions and a new rotating non-BPS black hole solution with a constant twisted $\rm S^1$ fiber.

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Available from: Ken Matsuno, Mar 18, 2014
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    • "In the literature there exist also interesting Kaluza- Klein black hole solutions with an unusual (different from R 4 × S 1 ) asymptotic. For explicit examples we refer the reader to [39]-[46]. "
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    ABSTRACT: Using solitonic techniques we construct a new exact stationary axisymmetric solution to the 5D Einstein equations in vacuum in asymptotically Kaluza-Klein spacetime. The solution describes rotating black ring with a single angular momentum surrounded by two Kaluza-Klein bubbles. It is generated by applying a 2-soliton Bäcklund transformation on a static seed. The solution properties are discussed, and its physical characteristics, such as mass, tension, angular velocity and angular momentum, are derived.
    Preview · Article · May 2010 · Physical review D: Particles and fields
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    • "A certain class (but not all) of squashed black holes can be obtained by the so-called squashing transformation. This procedure was applied to asymptotically flat [14] [17] [18] and non-asymptotically flat solutions such as Kerr-Gödel black holes [19] [20] [21]. In an attempt to enlarge the class of solutions, more recently Tomizawa, Yasui and Morisawa [22] applied G 2(2) transformations of [8] to construct a generalization of the charged Rasheed black hole [23] obtaining a new solution with four independent parameters: mass, angular momentum, Kaluza-Klein parameter β (in the notation of [23]) and an electric charge. "
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    ABSTRACT: We construct generating technique for 5D minimal and $U(1)^3$ supergravities based on hidden symmetries arising in dimensional reduction to three dimensions. In the three-vector case the symmetry is SO(4,4), and the minimal case corresponds to contraction of this group to $G_{2(2)}$. The matrix representation is presented applicable to both cases and the generating transformations preserving an asymptotic structure are listed. Our transformations contain enough free parameters to construct the general charged black ring in $U(1)^3$ theory starting with known solutions. To avoid a complicated inverse dualisation in the component form we introduce the matrix-valued dualisation which opens the way to derive new solutions purely algebraically from the coset representation of the seed. Comment: Conf. talk at "Black Holes in General Relativity and String Theory", August 24-30 2008, Veli Losinj, Croatia, published in the Proceedings
    Preview · Article · Dec 2009
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    • "A certain class (but not all) of squashed black holes can be obtained be the so-called squashing transformation. This procedure was applied to asymptotically flat [15] [17] [18] and non-asymptotically flat solutions such as Kerr-Gödel black holes [19] [20] [21]. In an attempt to enlarge the class of solutions, more recently Tomizawa, Yasui and Morisawa [22] applied G 2(2) transformations of [5] to construct a generalization of the charged Rasheed black hole [23] obtaining a new solution with four independent parameters: mass, angular momentum, "
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    ABSTRACT: Recently we suggested a solution generating technique for five-dimensional supergravity with three Abelian vector fields based on the hidden SO(4,4) symmetry of the three-dimensionally reduced theory. This technique generalizes the $G_{2(2)}$ generating technique developed earlier for minimal 5D supergravity (A. Bouchareb, G. Cl\'ement, C-M. Chen, D. V. Gal'tsov, N. G. Scherbluk, and Th. Wolf, Phys. Rev. D {\bf 76}, 104032 (2007)) and provides a new matrix representation for cosets forming the corresponding sigma-models in both cases. Here we further improve these methods introducing a matrix-valued dualisation procedure which helps to avoid difficulties associated with solving the dualisation equations in the component form. This new approach is used to generate a five-parametric rotating charged Kaluza-Klein black hole with the squashed horizon adding one parameter more to the recent solution by Tomizawa, Yasui and Morisawa which was constructed using the previous version of the $G_{2(2)}$ generating technique. Comment: 20 pages, revtex 4
    Preview · Article · Dec 2008 · Physical review D: Particles and fields
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