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arXiv · 1409.3368

Exact black hole formation in three dimensions

Wei Xu
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Abstract

We consider three dimensional Einstein gravity non-minimally coupled to a real scalar field with a self-interacting scalar potential and present the exact black hole formation in three dimensions. Firstly we obtain an exact time-dependent spherically symmetric solution describing the gravitational collapse to a scalar black hole at the infinite time, i.e. in the static limit. The solution can only be asymptotically AdS because of the No-Go theorem in three dimensions which is resulted from the existence of a smooth black hole horizon. Then we analyze their geometric properties and properties of the time evolution. We also get the exact time-dependent solution in the minimal coupling model after taking a conformal transformation.

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Wei Xu. 2014-10-22. Exact black hole formation in three dimensions. https://doi.org/10.1016/j.physletb.2014.10.026

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