# Extended quantum portrait of MGD black holes and information entropy

## TL;DR

This paper uses the extended minimal geometric deformation approach to model black holes as graviton Bose-Einstein condensates, analyzing their stability and entropy to provide insights into their quantum structure.

## Contribution

It introduces a novel application of EMGD to describe black holes as BECs and investigates their configurational entropy for stability analysis.

## Key findings

- Derived a more precise bound for fluid brane tension.
- Identified a critical density range for EMGD BECs.
- Found global minima in configurational entropy indicating stability.

## Abstract

The extended minimal geometric deformation (EMGD) is employed on the fluid membrane paradigm, to describe compact stellar objects as Bose--Einstein condensates (BEC) consisting of gravitons. The black hole quantum portrait, besides deriving a preciser phenomenological bound for the fluid brane tension, is then scrutinized from the point of view of the configurational entropy. It yields a range for the critical density of the EMGD BEC, whose configurational entropy has global minima suggesting the configurational stability of the EMGD BEC.