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Horizons in 2+1-dimensional collapse of particles

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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 be that of a particle, or of a black hole. In the black hole case the horizon is calculated. It is found 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.

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References

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Authors and Affiliations

  1. Department of Physics, University of Maryland, College Park, MD, 20782, USA

    Dieter Brill & Vijay Kaul

  2. Rensselaer Polytechnic Institute, Troy, NY, 12180, USA

    Puneet Khetarpal

Authors
  1. Dieter Brill
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  2. Puneet Khetarpal
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  3. Vijay Kaul
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Brill, D., Khetarpal, P. & Kaul, V. Horizons in 2+1-dimensional collapse of particles. Pramana - J Phys 69, 109–118 (2007). https://doi.org/10.1007/s12043-007-0113-6

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  • DOI: https://doi.org/10.1007/s12043-007-0113-6

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