Superluminal Black Holes

TL;DR

This paper introduces a novel solution to Einstein's equations describing a superluminal black hole with a hyperboloid horizon, differing from Schwarzschild black holes, and discusses its properties and observational implications.

Contribution

It presents a new exact solution to Einstein's equations featuring a superluminal horizon, expanding theoretical understanding of black hole geometries.

Findings

Existence of a hyperboloid horizon moving superluminally

Metric signature remains right outside the horizon

Solution is Minkovsky-flat at infinity outside the horizon

Abstract

The new solution of the Einstein equations in empty space is presented. The solution is constructed using Schwarzschild solution but essentially differs from it. The basic properties of the solution are: the existence of a horizon which is a hyperboloid of one sheet moving along its axis with superluminal velocity, right signature of the metric outside the horizon and Minkovsky-flatness of it at infinity outside the horizon. There is also a discussion in the last chapter, including comparing with recent astronomical observations.