Black holes, parallelizable horizons, and half-BPS states for the Einstein-Gauss-Bonnet theory in five dimensions

Fabrizio Canfora, Alex Giacomini, and Ricardo Troncoso
Phys. Rev. D 77, 024002 – Published 2 January 2008

Abstract

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 that 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.

  • Received 18 July 2007

DOI:https://doi.org/10.1103/PhysRevD.77.024002

©2008 American Physical Society

Authors & Affiliations

Fabrizio Canfora1,2,*, Alex Giacomini1,†, and Ricardo Troncoso1,‡

  • 1Centro de Estudios Cientificos (CECS), Casilla 1469 Valdivia, Chile
  • 2Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, GC Salerno

  • *canfora@cecs.cl
  • giacomini@cecs.cl
  • ratron@cecs.cl

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Vol. 77, Iss. 2 — 15 January 2008

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