Regularization of Kerr-NUT Spacetimes and Their Thermodynamical Quantities

Abstract

In the context of the teleparallel equivalent of the general relativity (TEGR) theory, continuous calculations of the total energy and momentum for Kerr-NUT spacetimes using three different methods, namely, the gravitational energy-momentum, the Riemannian connection 1-form, e Γ β α , and the Euclidean continuation method, have been achieved. Many local Lorentz transformations, which play the role of a regularization tools, are given to obtain the commonly known form of energy and momentum. We calculate the thermodynamic quantities of Kerr-NUT spacetimes. We also investigate the first law of thermodynamics and quantum statistical relation. Subject Index: 451, 453