Non-vacuum metrics for the Newman-Unti-Tamburino background: A coordinate-free approach to diverging and twisting solutions

Abstract

The geometry of the Newman-Unti-Tamburino (NUT) vacuum solution is characterized as the unique Petrov Type D vacuum metric such that the two double principal null directions form an integrable distribution. We study expanding and twisting non-vacuum Type D metrics in this geometry, with the additional assumption ${\Phi }_{01}={\Phi }_{12}=0$. We prove that these conditions determine the solutions up to a freedom in ${\Phi }_{11}\pm 3\Lambda$.

Revised version, published in International Journal of Theoretical Physics, Vol. 65, Art. 157 (2026)

References in corpus (1)

• A coordinate-free approach to obtaining exact solutions in general relativity: The Newman-Unti-Tamburino solution revisited