Multi-Black-Holes in Three Dimensions
G\'erard Cl\'ement
TL;DR
This paper constructs dynamic multi-black-hole solutions in three-dimensional gravity, revealing conditions for stationary solutions and exploring the topology of spacetime with multiple black holes and singularities.
Contribution
It introduces time-dependent multi-black-hole solutions in 3D gravity with zero or negative cosmological constant, highlighting the uniqueness of stationary extreme black hole configurations.
Findings
Dynamic multi-black-hole solutions are possible in 3D gravity.
Stationary solutions only occur for extreme black holes.
Spacetime topology can be multiply connected with black holes and singularities.
Abstract
We construct time-dependent multi-centre solutions to three-dimensional general relativity with zero or negative cosmological constant. These solutions correspond to dynamical systems of freely falling black holes and conical singularities, with a multiply connected spacetime topology. Stationary multi-black-hole solutions are possible only in the extreme black hole case.
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