Speaker
Description
In this talk I present a novel family of slowly rotating black hole solutions in four, and higher dimensions, that extend the well known Lense–Thirring spacetimes to the higher-dimensional multiply-spinning case, with an ansatz that is not necessarily fully characterized by a single (static) metric function. This generalization lets us study slowly rotating spacetimes in various higher curvature gravities as well as in the presence of non-trivial matter. As “exact metrics” in their own right, the new (non-vacuum) spacetimes feature the following two notable properties:
i) the ansatz can be recast in Painlevé--Gullstrand form (and thence is manifestly regular on the horizon)
ii) and it admits a tower of exact rank-2 and higher rank Killing tensors.
Remarkably, the rapidly growing tower of exact Killing tensors exceed the number of Killing vectors in higher dimensions give a first example of a physical spacetime with more hidden than explicit symmetries