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arXiv · hep-th/0207237

Exact self-gravitating N-body motion in the CGHS model

Won Tae Kim·Edwin J. Son
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Abstract

In the asymptotically flat two-dimensional dilaton gravity, we present an N-body particle action which has a dilaton coupled mass term for the exact solubility. This gives nonperturbative exact solutions for the N-body self-gravitating system, so the infalling particles form a black hole and their trajectories are exactly described. In our two-dimensional case, the critical mass for the formation of black holes does not exist, so even a single particle forms a black hole, which means that we can treat many black holes. The infalling particles give additional time-like singularities in addition to the space-like black hole singularity. However, the latter singularities can be properly cloaked by the future horizons within some conditions.

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Won Tae Kim, Edwin J. Son. 2002-07-26. Exact self-gravitating N-body motion in the CGHS model. https://doi.org/10.1016/s0370-2693(02)02975-1

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