1,577 research outputs found
Coalescence of Rotating Black Holes on Eguchi-Hanson Space
We obtain new charged rotating multi-black hole solutions on the
Eguchi-Hanson space in the five-dimensional Einstein-Maxwell system with a
Chern-Simons term and a positive cosmological constant. In the two-black holes
case, these solutions describe the coalescence of two rotating black holes with
the spatial topologies of S^3 into a single rotating black hole with the
spatial topology of the lens space S^3/Z_2. We discuss the differences in the
horizon areas between our solutions and the two-centered Klemm-Sabra solutions
which describe the coalescence of two rotating black holes with the spatial
topologies of S^3 into a single rotating black hole with the spatial topology
of S^3.Comment: 20 pages, 9 figure
Extremal Charged Black Holes with a Twisted Extra Dimension
We construct odd-dimensional extremal charged black hole solutions with a
twisted S^1 as an extra dimension on generalized Euclidean Taub-NUT spaces.
There exists a null hypersurface where an expansion for an outgoing null
geodesic congruence vanishes, then these spacetimes look like black holes. We
show that the metrics admit C^0 extension across the horizon, but some
components of Riemann curvature diverge there if the dimension is higher than
five. The singularity is not much strong so that an observer along a free-fall
geodesic can traverse the horizon. We also show solutions with a positive
cosmological constant.Comment: 21 pages, no figure, v2 added reference
Black Holes on Eguchi-Hanson Space in Five-Dimensional Einstein-Maxwell Theory
We construct a pair of black holes on the Eguchi-Hanson space as a solution
in the five-dimensional Einstein-Maxwell theory.Comment: 4 pages, to be published as a Brief Report in Physical Review
Charged rotating Kaluza-Klein multi-black holes and multi-black strings in five-dimensional Einstein-Maxwell theory
We construct exact solutions, which represent regular charged rotating
Kaluza-Klein multi-black holes in the five-dimensional pure Einstein-Maxwell
theory. Quantization conditions between the mass, the angular momentum, and
charges appear from the regularity condition of horizon. We also obtain
multi-black string solutions by taking some limits in the solutions. We extend
the black hole solutions to the five-dimensional Einstein-Maxwell-Chern-Simons
theory with an arbitrary Chern-Simons coupling constant.Comment: 14 pages. arXiv admin note: substantial text overlap with
arXiv:1206.481
Topology Changing Process of Coalescing Black Holes on Eguchi-Hanson Space
We numerically study the event horizons of two kinds of five-dimensional
coalescing black hole solutions with different asymptotic structures: the
five-dimensional Kastor-Traschen solution (5DKT) and the coalescing black hole
solution on Eguchi-Hanson space (CBEH). Topologies of the spatial infinity are
and , respectively. We show that
the crease sets of event horizons are topologically in 5DKT and
in CBEH, respectively. If we choose the time slices
which respect space-time symmetry, the first contact points of the coalescing
process is a point in the 5DKT case but a in the CBEH case. We also
find that in CBEH, time slices can be chosen so that a black ring with topology can be also formed during a certain intermediate
period unlike the 5DKT.Comment: 13 pages, 17 figure
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