Abstract
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 b=4a can lead to the three dimensional string solution. Then we give another class of charged dilaton black hole solution with bne 4a. 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.
Highlights
On the other side, gravity in three dimensional spacetime has been a fascinating area of theoretical investigations, even it is locally trivial in the absence of matter source because of the lack of propagating degrees of freedom
The main reasons include the discovery of the famous BTZ black hole solutions [14] and the study of AdS/CFT duality [15,17,18], which always shed some light on the understanding of more complicated cases of four and higher dimensional gravity
We present the static charged dilaton solutions and black hole formation in three dimensions
Summary
Gravity in three dimensional spacetime has been a fascinating area of theoretical investigations, even it is locally trivial in the absence of matter source because of the lack of propagating degrees of freedom. For the formation of scalar black holes due to the gravitational collapse of scalar field, there are only several literatures, including the time-dependent solutions describing the gravitational collapse to the static (un)charged/accelerating scalar black holes in four [40,41,42] and higher dimensions [43,44,45] and a three dimensional static scalar black hole [46,47]. We will revisit the famous static charged black hole solution obtained by Chan and Mann [19] in three dimensional Einstein–Maxwell–Dilaton gravity.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
