Non-extremal black holes from the generalised r-map

Understand

We review the timelike dimensional reduction of a class of five-dimensional theories that generalises 5D, N = 2 supergravity coupled to vector multiplets.

• As an application we construct instanton solutions to the four-dimensional Euclidean theory, and investigate the criteria for solutions to lift to static non-extremal black holes in five dimensions.
• We focus specifically on two classes of models: STU-like models, and models with a block diagonal target space metric.
• For STU-like models the second order equations of motion of the four-dimensional theory can be solved explicitly, and we obtain the general solution.