On Newman-Penrose constants of stationary electrovacuum spacetimes

TL;DR

This paper proves that all Newman-Penrose constants vanish for asymptotically flat, stationary electrovacuum spacetimes, including Kerr-Newman, revealing a fundamental property of these solutions.

Contribution

It establishes a theorem showing the vanishing of Newman-Penrose constants in a broad class of electrovacuum spacetimes, including Kerr-Newman.

Findings

All Newman-Penrose constants are zero for these spacetimes.

The theorem applies to asymptotically flat, stationary, algebraically special electrovacuum solutions.

Kerr-Newman spacetime also has vanishing Newman-Penrose constants.

Abstract

A theorem related to the Newman-Penrose constants is proven. The theorem states that all the Newman-Penrose constants of asymptotically flat, stationary, asymptotically algebraically special electrovacuum spacetimes are zero. Straightforward application of this theorem shows that all the Newman-Penrose constants of the Kerr-Newman spacetime must vanish.