Black p-Branes versus black holes in non-asymptotically flat Einstein-Yang-Mills theory

TL;DR

This paper explores non-asymptotically flat charged black p-branes in higher-dimensional Einstein-Yang-Mills theory, analyzing their properties, entropy, and transition criteria with black holes, revealing conditions where BpB can be viewed as excited states of black holes.

Contribution

It introduces a class of charged black p-branes with anti-de Sitter asymptotics in higher dimensions and compares their entropy and stability with black holes.

Findings

BpB can be considered excited states of black holes under certain conditions.

Transition criteria between BpB and black holes depend on entropy comparisons.

A plot of horizon radius versus charge illustrates the transition between the two objects.

Abstract

We present a class of non-asymptotically flat (NAF) charged black p-branes (BpB) with p-compact dimensions in higher dimensional Einstein-Yang-Mills theory. Asymptotically the NAF structure manifests itself as an anti-de-sitter spacetime. We determine the total mass / energy enclosed in a thin-shell located outside the event horizon. By comparing the entropies of BpB with those of black holes in same dimensions we derive transition criteria between the two types of black objects. Given certain conditions satisfied our analysis shows that BpB can be considered excited states of black holes. An event horizon $r_{+}$ versus charge square $Q^{2}$ plot \ for the BpB reveals such a transition where $r_{+}$ is related to the horizon radius $r_{h}$ of the black hole (BH) both with the common charge $% Q. $