Cylindrical Black Hole in General Relativity

TL;DR

This paper presents a new cylindrical black hole solution in Einstein's general relativity, analyzes its causal structure, and defines its mass and angular momentum via Hamiltonian formulation.

Contribution

It introduces a novel cylindrical black hole solution and applies Hamiltonian methods to define its physical properties, expanding understanding of non-spherical black holes.

Findings

Cylindrical black hole solution derived from Einstein's equations.

Hamiltonian formulation used to define mass and angular momentum.

Causal structure of the cylindrical black hole analyzed.

Abstract

A black hole solution of Einstein's field equations with cylindrical symmetry is found. Using the Hamiltonian formulation one is able to define mass and angular momentum for the cylindrical black hole through the corresponding and equivalent three dimensional theory. The causal structure is analyzed. Comments: revised version.