  We present exact analytical black hole solutions with conformal anomaly in
AdS space and discuss the thermodynamical properties of these black hole
solutions. These black holes can have a positive, zero and negative constant
curvature horizon, respectively. For the black hole with a positive constant
curvature horizon, there exists a minimal horizon determined by the coefficient
of the trace anomaly, the black hole with a smaller horizon is
thermodynamically unstable, while it is stable for the case with a larger
horizon. The Hawking-Page transition happens in this case. For the black hole
with a Ricci flat horizon, the black hole is always thermodynamically stable
and there is no Hawking-Page transition. In the case of the black hole with a
negative constant curvature horizon, there exists a critical value for the
coefficient of the trace anomaly, under this critical value, the black hole is
always thermodynamical stable and the Hawking-Page transition does not happen.
When the coefficient is beyond the critical value, the black hole with a
smaller horizon is thermodynamically unstable, but it becomes stable for the
case with a larger horizon, the Hawking-Page transition always happens in this
case. The latter is a new feature for the black holes with a negative constant
curvature horizon.

High Energy Physics - Theory;General Relativity and Quantum Cosmology