Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-06-05
Phys.Rev. D68 (2003) 044021
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 6 figures
Scientific paper
10.1103/PhysRevD.68.044021
Using a recently developed generalized Weyl formalism, we construct an asymptotically flat, static vacuum Einstein solution that describes a superposition of multiple five-dimensional Schwarzschild black holes. The spacetime exhibits a U(1)\times U(1) rotational symmetry. It is argued that for certain choices of parameters, the black holes are collinear and so may be regarded as a five-dimensional generalization of the Israel-Khan solution. The black holes are kept in equilibrium by membrane-like conical singularities along the two rotational axes; however, they still distort one another by their mutual gravitational attraction. We also generalize this solution to one describing multiple charged black holes, with fixed mass-to-charge ratio, in Einstein-Maxwell-dilaton theory.
Tan Hai Siong
Teo Edward
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