Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-07-06
Phys.Rev.D77:024002,2008
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, no figures, notation clarified; version accepted for publication in Physical Review D
Scientific paper
10.1103/PhysRevD.77.024002
Exact vacuum solutions with a nontrivial torsion for the Einstein-Gauss-Bonnet theory in five dimensions are constructed. We consider a class of static metrics whose spacelike section is a warped product of the real line with a nontrivial base manifold endowed with a fully antisymmetric torsion. It is shown requiring solutions of this sort to exist, fixes the Gauss-Bonnet coupling such that the Lagrangian can be written as a Chern-Simons form. The metric describes black holes with an arbitrary, but fixed, base manifold. It is shown that requiring its ground state to possess unbroken supersymmetries, fixes the base manifold to be locally a parallelized three-sphere. The ground state turns out to be half-BPS, which could not be achieved in the absence of torsion in vacuum. The Killing spinors are explicitly found.
Canfora Fabrizio
Giacomini Alex
Troncoso Ricardo
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