Weak Gravity Conjecture of Charged-Rotating-AdS Black Hole Surrounded by Quintessence and String Cloud

TL;DR

This paper investigates the weak gravity conjecture for charged-rotating-AdS black holes surrounded by quintessence and string clouds, confirming universal relations and showing how these factors influence the mass-charge ratio and entropy corrections.

Contribution

It introduces a new universal relation involving string clouds and quintessence effects on extremal black holes, extending previous studies to more complex black hole environments.

Findings

The mass-to-charge ratio decreases with quintessence influence.

The universal relation between extremal mass and string cloud factor is established.

Constant corrections inversely relate to black hole entropy.

Abstract

A series of corrections to general relativity have recently been applied to find the relationship between entropy and extremality-bound black holes. This relationship has been investigated for many black holes, such as charged AdS, rotating, and massive gravity black holes. We give a minor constant correction to the action and confirm these universal relations for a charged-rotating-AdS black hole. We then examine these calculations for the black hole, surrounded by the quintessence and the cloud of string. In this paper, we evaluate a new universal relation. It means that we find the relation between the extremal mass of the black hole and the factor of cloud string and observe that the corresponding universal relation is well established. We find that the quintessence terms play a very effective role in calculating the mass-charge ratio and concept of weak gravity conjecture of black holes. We note here that the added constant correction is inversely related to the entropy of the black hole. It leads us to see that the mass-to-charge ratio decreases and fully confirms the black hole's weak gravity conjecture (WGC).