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This paper studies the holographic description of $2+1-$dimensionalaccelerating black holes. We start by using an ADM decomposition of thecoordinates suitable to identify boundary data. As a consequence, theholographic CFT lies in a fixed curved background which is described by theholographic stress tensor of a perfect fluid. We compute the Euclidean actionensuring that the variational principle is satisfied in the presence of thedomain wall. This requires including the Gibbons--Hawking--York term associatedwith internal boundaries on top of the standard renormalised AdS$_{3}$ action.Finally, we compute the entanglement entropy by firstly mapping the solution tothe Rindler--AdS spacetime in which the Ryu--Takayanagi surface is easilyidentifiable. We found that as the acceleration increases the accessible regionof the conformal boundary decreases and also the entanglement entropy,indicating a loss of information in the dual theory due to acceleration.

Accelerating Black Holes in $2+1$ dimensions: Holography revisited