On the Properties of Exact Solutions Endowed with Negative Mass

TL;DR

This paper explores how negative mass influences spacetime properties, critiques existing black hole solutions, and highlights issues with their maximal extensions, challenging their physical plausibility.

Contribution

It demonstrates that negative mass can explain pathological spacetime features and critically assesses the analytic and physical validity of extended Kerr and Kerr-Newman solutions.

Findings

Negative mass explains certain spacetime pathologies.

Maximal extensions of Kerr and Kerr-Newman are neither analytic nor physically meaningful.

Negative mass influences total mass considerations in solutions.

Abstract

It is shown that various pathological properties of spacetimes can be explained by the presence of negative mass, including the cases when the total mass of the solution is a positive quantity. As an illustration, we consider several well-known stationary axisymmetric vacuum and electrovac solutions of the Einstein-Maxwell equations. Our investigation naturally leads to a critique of the known maximal extensions of the Kerr and Kerr-Newman spacetimes which turn out to be neither analytic nor physically meaningful.