Geometric model of black hole quantum $N$-portrait, extradimensions and thermodynamics

TL;DR

This paper explores a holographic black hole metric that models quantum N-portrait features, extends it to higher dimensions and AdS space, and analyzes its thermodynamics and phase transitions.

Contribution

It demonstrates that the holographic metric reproduces quantum N-portrait features beyond semi-classical limits and extends the model to higher dimensions and AdS space.

Findings

Reproduces geometric features of quantum N-portrait

Extends the model to higher dimensions and AdS space

Analyzes thermodynamics and Hawking-Page transition

Abstract

Recently a short scale modified black hole metric, known as holographic metric, has been proposed in order to capture the self-complete character of gravity. In this paper we show that such a metric can reproduce some geometric features expected from the quantum $N$-portrait beyond the semi-classical limit. We show that for a generic $N$ this corresponds to having an effective energy momentum tensor in Einstein equations or, equivalently, non-local terms in the gravity action. We also consider the higher dimensional extension of the metric and the case of an AdS cosmological term. We provide a detailed thermodynamic analysis of both cases, with particular reference to the repercussions on the Hawking-Page phase transition.