On the parameters of the Kerr-NUT-(anti-)de Sitter space-time

TL;DR

This paper clarifies how the parameters in various forms of the Kerr-NUT-(anti-)de Sitter metric relate to physical quantities like mass, rotation, NUT charge, and cosmological constant in four dimensions.

Contribution

It establishes a clear relationship between metric parameters and physical parameters in the four-dimensional Kerr-NUT-(anti-)de Sitter space-time.

Findings

Parameters are explicitly related to physical quantities.

Different metric forms are connected to physical parameters.

Provides a basis for extending to higher dimensions.

Abstract

Different forms of the metric for the Kerr-NUT-(anti-)de Sitter space-time are being widely used in its extension to higher dimensions. The purpose of this note is to relate the parameters that are being used to the physical parameters (mass, rotation, NUT and cosmological constant) in the basic four dimensional situation.