Topological dyonic dilaton black holes in AdS spaces

Understand

We construct a new class of dyonic dilaton black hole solutions in the background of Anti-de Sitter (AdS) spacetime.

• In order to find an analytical solution which satisfy all the field equations, we should consider the string case where the dilaton coupling is $\alpha=1$.
• The asymptotic behaviour of the solution ($r\rightarrow\infty$) is exactly AdS, where the dilaton field becomes zero and the metric function reduces to $f(r)\rightarrow -\Lambda r^2/3$.
• In this spacetime, black hole horizons and cosmological horizons, can be a two-dimensional positive, zero or negative constant curvature surface.