Static spacetimes haunted by a phantom scalar field. III. Asymptotically (A)dS solutions

The static and spherically symmetric solutions in the $n(\ensuremath{\ge}4)$-dimensional Einstein-phantom-scalar system fall into three families: (i) Fisher solution, (ii) Ellis-Gibbons (iii) Ellis-Bronnikov solution. We exploit these as seed to generate a bunch of corresponding asymptotically (A)dS spacetimes, at price introducing potential scalar field. Despite that potentials are different for each is expressed terms superpotential supergravity. discuss global structure detail spell out domain parameters under which solution represents black hole/wormhole. class presents novel examples spherical traversable wormholes interpolate two critical points (super)potential.