Multi-centered black holes in gauged D=5 supergravity

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  • 5 October 2000
Abstract
One of the important consequences of the no-force condition for BPS states is the existence of stable static multi-center solutions, at least in ungauged supergravities. This observation has been at the heart of many developments in brane physics, including the construction of intersecting branes and reduced symmetry D-brane configurations corresponding to the Coulomb branch of the gauge theory. However the search for multi-center solutions to gauged supergravities has proven rather elusive. Because of the background curvature, it appears such solutions cannot be static. Nevertheless even allowing for time dependence, general multi-center solutions to gauged supergravity have yet to be constructed. In this letter we investigate the construction of such solutions for the case of D=5, N=2 gauged supergravity coupled to an arbitrary number of vector multiplets. We find a family of time dependent multi-center black hole solutions which are easily generalized to the case of AdS supergravities in general dimensions. While these solutions only pertain to the Euclideanized theory or equivalently to the case where the coupling is formally taken to be imaginary, they nevertheless provide a partial realization of true multi-center black-holes in gauged supergravities.

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