Black ringoids: spinning balanced black objects in d≥ 5 dimensions -- the codimension-two case

الأصل · EN

We propose a general framework for the study of asymptotically flat black objects with k+1 equal magnitude angular momenta in d≥ 5 spacetime dimensions (with 0≤ k≤ [d-5/2]). In this approach, the dependence on all angular coordinates but one is factorized, which leads to a codimension-two problem. This framework can describe black holes with spherical horizon topology, the simplest solutions corresponding to a class of Myers-Perry black holes. A different set of solutions describes balanced black objects with Sⁿ⁺¹ × S²ᵏ⁺¹ horizon topology. The simplest members of this family are the black rings (k=0). The solutions with k>0 are dubbed black ringoids. Based on the nonperturbative numerical results found for several values of (n,k), we propose a general picture for the properties and the phase diagram of these solutions and the associated black holes with spherical horizon topology: n=1 black ringoids repeat the k=0 pattern of black rings and Myers-Perry black holes in 5 dimensions, whereas n>1 black ringoids follow the pattern of higher dimensional black rings associated with `pinched' black holes and Myers-Perry black holes.