On the global structure of the Pomeransky-Senkov black holes

Understand

We construct analytic extensions of the Pomeransky-Senkov metrics with multiple Killing horizons and asymptotic regions.

• We show that, in our extensions, the singularities associated to an obstruction to differentiability of the metric lie beyond event horizons.
• We analyze the topology of the non-empty singular set, which turns out to be parameter-dependent.
• We present numerical evidence for stable causality of the domain of outer communications.