Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-25
Int.J.Mod.Phys.A24:1690-1694,2009
Physics
High Energy Physics
High Energy Physics - Theory
Prepared for the proceedings of the 7th Alexander Friedmann International Seminar on Gravitation and Cosmology, July 2008, Joa
Scientific paper
10.1142/S0217751X09045248
The classification of certain class of static solutions for the Einstein-Gauss-Bonnet theory in vacuum is presented. The spacelike section of the class of metrics under consideration is a warped product of the real line with a nontrivial base manifold. For arbitrary values of the Gauss-Bonnet coupling, the base manifold must be Einstein with an additional scalar restriction. The geometry of the boundary can be relaxed only when the Gauss-Bonnet coupling is related with the cosmological and Newton constants, so that the theory admits a unique maximally symmetric solution. This additional freedom in the boundary metric allows the existence of three main branches of geometries in the bulk, containing new black holes and wormholes in vacuum.
Dotti Gustavo
Oliva Julio
Troncoso Ricardo
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