A bstract We study rotating global AdS solutions in five-dimensional Einstein gravity coupled to a multiplet complex scalar within cohomogeneity-1 ansatz. The onset of the gravitational and field superradiant instabilities Myers-Perry-AdS black hole mark bifurcation points resonators hairy holes, respectively. These are subject other (gravitational or scalar) instability, result which contain b...

Abstract We classify Einstein metrics on $$\mathbb {R}^4$$ R 4 invariant under a four-dimensional group of isometries including principal action the Heisenberg group. consider which are either Ricci-flat or negative Ricci curvature. show that all ...

We prove that any supersymmetric solution to five-dimensional minimal gauged supergravity with $SU(2)$ symmetry, is timelike outside an analytic horizon, a Gutowski-Reall black hole or its near-horizon geometry. The proof combines delicate analysis the general form for K\"ahler metric cohomogeneity-1 symmetry. also soliton this theory, symmetry and nut complex bolt, has base enhanced $U(1)\time...

We investigate the Spin(7) holonomy metric of cohomogeneity one with the principal orbit SU(3)/U(1). A choice of U(1) in the two dimensional Cartan subalgebra is left as free and this allows manifest Σ3 = W (SU(3)) (= the Weyl group) symmetric formulation. We find asymptotically locally conical (ALC) metrics as octonionic gravitational instantons. Complex projective space CP(2) that is a supers...

We solve the Killing spinor equations of N = 1 supergravity, with four supercharges, coupled to any number of vector and scalar multiplets in all cases. We find that backgrounds with N = 1 supersymmetry admit a null, integrable, Killing vector field. There are two classes of N = 2 backgrounds. The spacetime in the first class admits a parallel null vector field and so it is a pp-wave. The space...