The First Law for Rotating NUTs

Alvaro Ballon Bordo, Finnian Gray, Robie A. Hennigar, David Kubiznak

Published 2019-05-15Version 1

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.