Black topologies production in extra dimensions

Abstract

We investigate the configuration resulting after a collision of gravitational sources in a higher dimensional space with extra dimensions. Evidence is found that as the energy increases, there is a phase transition in the topology of the black object that is being formed: from the black hole to the black string topology. An intuitive mechanism for the way the transition takes place is proposed. The transition occurs at a finite value of the energy where an upper and a lower bound is found. Furthermore, at low energies the compact dimension behaves as an extended one while at high energies the extra dimension seems to decouple. Finally, the implications about the Gregory-Laflamme instability, the implications to the accelerators as well as holographic implications are discussed.