This letter is devoted to show that the bosonic sector of the $\mathcal{ R}^{ 2}$-SUGRA in four dimensions, constructed with the F-term, admits a variety of exact and analytic solutions which include, pp- and AdS waves, asymptotically flat and AdS black holes and wormholes, as well as product spacetimes. The existence of static black holes and wormholes implies that a combination involving the Ricci scalar plus the norm of the field strength of the auxiliary two-form $B_{ \mu\nu}$, must be a constant. We focus on this sector of the theory which has two subsectors depending on whether such a combination vanishes or not.
Categories: hep-th gr-qc