Holographic quantization of gravity in a black hole background

TL;DR

This paper extends the holographic quantization method for Einstein gravity from flat to curved Schwarzschild backgrounds, aiming to advance the understanding of quantum gravity in black hole spacetimes.

Contribution

It generalizes the holographic quantization procedure to curved backgrounds, specifically Schwarzschild black holes, building on previous flat background work.

Findings

Successful extension of holographic quantization to Schwarzschild background

Insights into quantum aspects of gravity near black holes

Potential implications for black hole information and quantum gravity

Abstract

It was recently observed in \cite{Park:2014tia} that the holographic nature of gravity may hold a key to quantization of gravity. The so-called "holographic quantization" has been carried out in \cite{Park:2014noa,Park:2015ota} for Einstein gravity in a flat background. Generalizing the procedure to a curved background is the main goal of the present work. In particular, we consider the Einstein action expanded around a Schwarzschild background