English

Horizons in 2+1-dimensional collapse of particles

General Relativity and Quantum Cosmology 2009-11-13 v1

Abstract

A simple, geometrical construction is given for three-dimensional spacetimes with negative cosmological constant that contain two particles colliding head-on. Depending on parameters like particle masses and distance, the combined geometry will the that of a particle, or of a black hole. In the black hole case the horizon is calculated. It is found that that the horizon typically starts at a point and spreads into a closed curve with corners, which propagate along spacelike caustics and disappear as the horizon passes the particles.

Keywords

Cite

@article{arxiv.0707.1877,
  title  = {Horizons in 2+1-dimensional collapse of particles},
  author = {Dieter Brill and Puneet Khetarpal and Vijay Kaul},
  journal= {arXiv preprint arXiv:0707.1877},
  year   = {2009}
}

Comments

10 pages, 5 figures

R2 v1 2026-06-21T08:57:45.985Z