A concrete anti-de Sitter black hole with dynamical horizon having toroidal cross-sections and its characteristics

TL;DR

This paper introduces a novel Einstein equation solution describing a dynamical black hole with a toroidal horizon, allowing the study of its properties such as area law and matter flux without complex construction methods.

Contribution

It presents the first explicit model of a dynamical black hole with toroidal horizon topology in Einstein's theory.

Findings

Analysis of the horizon's area law

Investigation of matter flux inside the horizon

Characterization of the black hole's dynamical properties

Abstract

We propose a special solution of Einstein equations in the general Vaidya form representing a dynamical black hole having horizon cross-sections with toroidal topology. The concrete model enables us to study for the first time dynamical horizons with toroidal topology, its area law, and the question of matter flux inside the horizon, without using a cut-and-paste technology to construct the solution.