Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-20
Phys.Rev.D78:044042,2008
Physics
High Energy Physics
High Energy Physics - Theory
53 pages, latex, 19 eps figures. v2: added refs + one eps figure. v3: published version
Scientific paper
10.1103/PhysRevD.78.044042
We consider extremal black hole solutions to the vacuum Einstein equations in dimensions greater than five. We prove that the near-horizon geometry of any such black hole must possess an SO(2,1) symmetry in a special case where one has an enhanced rotational symmetry group. We construct examples of vacuum near-horizon geometries using the extremal Myers-Perry black holes and boosted Myers-Perry strings. The latter lead to near-horizon geometries of black ring topology, which in odd spacetime dimensions have the correct number rotational symmetries to describe an asymptotically flat black object. We argue that a subset of these correspond to the near-horizon limit of asymptotically flat extremal black rings. Using this identification we provide a conjecture for the exact ``phase diagram'' of extremal vacuum black rings with a connected horizon in odd spacetime dimensions greater than five.
Figueras Pau
Kunduri Hari K.
Lucietti James
Rangamani Mukund
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