  An exact solution of $(2+1)$-dimensional Einstein gravity with cosmological
constant is studied. The corresponding spacetime is interpreted as an
accelerating BTZ spacetime. The proper acceleration, horizon structure,
temperature and entropy are presented in detail. The metric being studied is
very similar to the one studied by Astorino in arXiv:1101.2616, but the range
of parameters is different which results in significant changes in the causal
structures.
