A Twisting Electrovac Solution of Type II with the Cosmological Constant

TL;DR

This paper presents an exact Einstein-Maxwell solution with a cosmological constant, characterized by twisting null vectors and containing known solutions as special cases, advancing understanding of complex spacetime geometries.

Contribution

It introduces a new Petrov type II electrovac solution with twisting null vectors and a cosmological constant, including known solutions as special cases.

Findings

Solution is of Petrov type II with twisting null vectors.

Contains five arbitrary constants.

Includes several known solutions as special cases.

Abstract

An exact solution of the current-free Einstein-Maxwell equations with the cosmological constant is presented. It is of Petrov type II, and its double principal null vector is geodesic, shear-free, expanding, and twisting. The solution contains five constants. Its electromagnetic field is non-null and aligned. The solution admits only one Killing vector and includes, as special cases, several known solutions.