Trous Noirs Phantomes

We obtain the general solution of the Einstein-(anti) Maxwell-(anti) Dilaton (EMD) theory for a static, spherically symmetric spacetime in four dimensions. In the phantom (anti) cases, we obtain new solutions with non-degenerate horizon and make the analysis of their causal structures. The causal structures of some solutions are exotics, some of them can not be described in two-dimensional usual Penrose diagrams. We obtain also, using the method of Sigma model, new stationary solutions with axial symmetry, for Einstein-anti-Maxwell-Dilaton (EM¯\bar{M}D) and Einstein-anti-Maxwell-Dilaton-Axion (EM¯\bar{M}DA) theory. We analyse the causal structure of these new solutions