Black Topologies Production in Extra Dimensions

TL;DR

This paper investigates how black objects formed in high-energy collisions in higher-dimensional spaces undergo a phase transition from black holes to black strings, revealing energy-dependent topology changes and their physical implications.

Contribution

It introduces an intuitive mechanism for the black hole to black string transition in higher dimensions and identifies energy bounds where this phase change occurs.

Findings

Evidence of a phase transition in black object topology at finite energy.

At low energies, extra dimensions behave as extended; at high energies, they decouple.

Implications for Gregory-Laflamme instability and holography are discussed.

Abstract

The configuration resulting after a collision of gravitational sources in a higher dimensional space with extra dimensions is investigated. 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 being 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 being discussed.