Mechanics of Apparent Horizon in Two Dimensional Dilaton Gravity

TL;DR

This paper defines and explores the mechanics of apparent horizons in two-dimensional dilaton gravity, extending concepts from higher-dimensional spherically symmetric spacetimes to 2D theories using a quasi-local energy approach.

Contribution

It introduces a new definition of apparent horizon in 2D dilaton gravity and develops its mechanics through a quasi-local energy framework, generalizing higher-dimensional results.

Findings

Defined apparent horizon in 2D dilaton gravity

Constructed horizon mechanics using quasi-local energy

Extended higher-dimensional horizon mechanics to 2D case

Abstract

In this article, we give a definition of apparent horizon in a two dimensional general dilaton gravity theory. With this definition, we construct the mechanics of the apparent horizon by introducing a quasi-local energy of the theory. Our discussion generalizes the apparent horizons mechanics in general spherically symmetric spactimes in four or higher dimensions to the two dimensional dilaton gravity case.