Non-singular four-dimensional black holes and the Jackiw-Teitelboim theory

TL;DR

This paper presents a four-dimensional dilaton-gravity model that reduces to the Jackiw-Teitelboim theory, providing a nonsingular black hole solution and analyzing its classical, semiclassical, and evaporation properties.

Contribution

It introduces a new 4D dilaton-gravity action leading to nonsingular black holes and explores their properties via the 2D Jackiw-Teitelboim framework, including evaporation modeling.

Findings

Nonsingular black hole solutions in the model.

Purely topological nature of Hawking radiation.

Modeling of black hole evaporation process.

Abstract

A four-dimensional dilaton-gravity action whose spherical reduction to two dimensions leads to the Jackiw-Teitelboim theory is presented. A nonsingular black hole solution of the theory is obtained and its physical interpretation is discussed. The classical and semiclassical properties of the solution and of its 2d counterpart are analysed. The 2d theory is also used to model the evaporation process of the near-extremal 4d black hole. We describe in detail the peculiarities of the black hole solutions, in particular the purely topological nature of the Hawking radiation, in the context of the Jackiw-Teitelboim theory.