Distributional Energy-Momentum Tensor of the Kerr-Newman Space-Time Family

TL;DR

This paper computes the distributional energy-momentum tensor for the Kerr-Newman space-time using Kerr-Schild decomposition, revealing a well-defined tensor with disk-like support, contributing to understanding its energy distribution.

Contribution

It introduces a method to derive a well-defined distributional energy-momentum tensor for Kerr-Newman space-time using Kerr-Schild decomposition.

Findings

Energy-momentum tensor is a tensor-distribution with disk-like support.

Method leverages algebraically special Kerr-Schild decomposition.

Provides insights into energy distribution in Kerr-Newman space-time.

Abstract

Using the Kerr-Schild decomposition of the metric tensor that employs the algebraically special nature of the Kerr-Newman space-time family, we calculate the energy-momentum tensor. The latter turns out to be a well-defined tensor-distribution with disk-like support.