A black hole in two-dimensional space-time

TL;DR

This paper demonstrates the formation of a two-dimensional black hole through radiation implosion within the R=T theory, analyzing its horizon, singularity, and thermal radiation properties, including back-reaction effects.

Contribution

It introduces a model of 2D black hole formation via radiation implosion and solves the back-reaction problem at one-loop order.

Findings

Horizon radius is 1/(2M)

Central singularity has a corner topology

Radiation emitted is thermal with temperature M/(2π)

Abstract

An imploding shell of radiation is shown to create a 2-D black hole within the framework of the ``R=T'' theory. The radius of the horizon is given by 1/(2M), where M is the mass of the black hole. The topology of the central singularity is that of a corner. The radiation emitted very far from the black hole is thermal with temperature M/(2\pi). The back-reaction problem is solved to one-loop order.