https://doi.org/10.1140/epjc/s10052-019-7179-4
Regular Article - Theoretical Physics
Charged dilaton solutions and black hole formation in three dimensions
1
School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, China
2
School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, China
* e-mail: xuwei@cug.edu.cn
Received:
21
March
2019
Accepted:
30
July
2019
Published online:
6
August
2019
In this paper, we present the charged dilaton solutions and black hole formation in three dimensions. Firstly we revisit the famous Chan–Mann charged dilaton black hole, describing one parameter family of static charged black hole solution in three dimensional Einstein–Maxwell–Dilaton gravity. This solution with a special parameter choice 
can lead to the three dimensional string solution. Then we give another class of charged dilaton black hole solution with 
. We discuss their geometrical properties, the horizon structure and the causal structure. The time-dependent solution is also presented, which can characterize the three dimensional charged black hole formation in Einstein–Dilaton gravity. Especially, there is no exact time-dependent solution describing the gravitational collapse to the Chan–Mann charged dilaton black hole. Finally, we discuss the gravitational collapse of a dilaton field in the context of the Cosmic Censorship Conjecture.
© The Author(s), 2019
