Surface Area Products for Kerr-Taub-NUT Space-time

Understand

We examine properties of the inner and outer horizon thermodynamics of Taub-NUT (Newman-Unti-Tamburino) and Kerr-Taub-NUT (KTN) black hole (BH) in four dimensional \emph{Lorentzian geometry}.

• We compare and contrasted these properties with the properties of Reissner Nordstr{\o}m (RN) BH and Kerr BH.
• We focus on "area product", "entropy product", "irreducible mass product" of the event horizon and Cauchy horizons.
• Due to mass-dependence, we speculate that these products have no beautiful quantization feature.