Article

# A boundary value problem for the five-dimensional stationary rotating black holes

Physical Review D (Impact Factor: 4.86). 01/2004; DOI: 10.1103/PhysRevD.69.124005

Source: arXiv

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**ABSTRACT:**We develop a generating technique for solutions of U(1)3 5D supergravity via dimensional reduction to three dimensions. This theory, which recently attracted attention in connection with black rings, can be viewed as a consistent truncation of the T6 compactification of the 11-dimensional supergravity. Its further reduction to three dimensions accompanied by dualization of the vector fields leads to a 3D gravity coupled sigma model on the homogeneous space SO(4,4)/SO(4)×SO(4) or SO(4,4)/SO(2,2)×SO(2,2) depending on the signature of the three-space. We construct a 8×8 matrix representation of these cosets in terms of lower-dimensional blocks. Using it we express a solution generating transformations in terms of potentials and identify those preserving asymptotic conditions relevant to black holes and black rings. As an application we derive the doubly rotating black hole solution with three independent charges. A suitable contraction of the above cosets is used to construct a new representation of the coset G2(2)/(SL(2,R)×SL(2,R)) relevant for minimal five-dimensional supergravity.Physical review D: Particles and fields 09/2008; 78(6). - [Show abstract] [Hide abstract]

**ABSTRACT:**We consider charged rotating black holes in 5-dimensional Einstein Maxwell theory. These black holes are asymptotically flat, they possess a regular horizon of spherical topology and two independent angular momenta associated with two distinct planes of rotation. We discuss their global and horizon properties, and derive a generalized Smarr formula. We construct these black holes numerically, focusing on black holes with a single angular momentum, and with two equal-magnitude angular momenta.Physics Letters B 05/2005; 614(1-2):104-112. · 6.02 Impact Factor -
##### Article: Abelian-Higgs hair on stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity

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**ABSTRACT:**We studied, both analytically and numerically, an Abelian Higgs vortex in the spacetime of stationary axisymmetric black hole being the solution of the low-energy limit of the heterotic string theory, acted as hair on the black hole background. Taking into account the gravitational backreaction of the vortex we show that its influence is far more subtle than causing only a conical defect. As a consequence of its existence, we found that the ergosphere was shifted as well as event horizon angular velocity was affected by its presence. Numerical simulations reveal the strong dependence of the vortex behaviour on the black hole charge and mass of the Higgs boson. For large masses of the Higgs boson and large value of the charge, black hole is always pierced by an Abelian Higgs vortex, while small values of the charge and Higgs boson mass lead to the expulsion of Higgs field.Physical Review D 10/2013; 88(8). · 4.86 Impact Factor

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