The first law of black hole thermodynamics for Taub–NUT spacetime

Abstract

This paper focuses on the new approach to the nature of a nut parameter [Formula: see text], usually treated as a dual charge to the mass. Instead of thinking about it as a gravitational analog of the magnetic monopole, we will show that the Taub–NUT spacetime conceals a peculiar rotation coming from the Misner strings depending on the nut value. Besides reconciling several confusing results present in the literature, this allows us to establish more the less a consistent description of the black hole thermodynamics for the Lorentzian Taub–NUT spacetime with essential contribution from the Misner strings to the angular momentum and total entropy.