Einstein-Maxwell-Dilaton theories with a Liouville potential

Understand

We find and analyse solutions of Einstein's equations in arbitrary d dimensions and in the presence of a scalar field with a Liouville potential coupled to a Maxwell field.

• We consider spacetimes of cylindrical symmetry or again subspaces of dimension d-2 with constant curvature and analyse in detail the field equations and manifest their symmetries.
• The field equations of the full system are shown to reduce to a single or couple of ODE's which can be used to solve analytically or numerically the theory for the symmetry at hand.
• Further solutions can also be generated by a solution generating technique akin to the EM duality in the absence of a cosmological constant.