Physics Letters B (Nov 2019)
The first law for rotating NUTs
Abstract
We address a long-standing problem of describing the thermodynamics of rotating Taub–NUT solutions. The obtained first law is of full cohomogeneity and allows for asymmetric distributions of Misner strings as well as their potential variable strengths—encoded in the gravitational Misner charges. Notably, the angular momentum is no longer given by the Noether charge over the sphere at infinity and picks up non-trivial contributions from Misner strings.