"twisted" black holes are unphysical

So-called “twisted” black holes were recently proposed by [H. Zhang, arXiv:1609.09721], and were further considered by [S. Chen and J. Jing, arXiv:1610.00886]. More recently, they were severely criticized by [Y. C. Ong, J. Cosmol. Astropart. Phys.1701, 001 (2017)]. While these spacetimes are certainly Ricci-flat, and so mathematically satisfy the vacuum Einstein equations, they are also merely minor variants on Taub–NUT spacetimes. Consequently, they exhibit several unphysical features that make them quite unreasonable as realistic astrophysical objects. Specifically, these “twisted” black holes are not (globally) asymptotically flat. Furthermore, they contain closed time-like curves that are not hidden behind any event horizon — the most obvious of these closed time-like curves are small azimuthal circles around the rotation axis, but the effect is more general. The entire region outside the horizon is infested with closed time-like curves.