WGC and WCC for charged black holes with quintessence and cloud of strings

TL;DR

This paper investigates the compatibility of the weak gravity conjecture with the weak cosmic censorship conjecture for charged black holes influenced by quintessence and a cloud of strings, demonstrating conditions under which both can coexist.

Contribution

It introduces a detailed analysis of charged black holes with quintessence and strings, showing how parameter restrictions can reconcile WGC and WCCC in these contexts.

Findings

Compatibility between WGC and WCCC can be achieved with parameter restrictions.

Quintessence alone offers less freedom for compatibility than combined with a cloud of strings.

Charged black holes with Q>M can still possess an event horizon under certain conditions.

Abstract

One of the important problems with the existence of weak gravity conjecture ($WGC$) is the violation of the cosmic censorship. Such a cosmic phenomena is important and consistent in general relativity. It means that for a charged black hole in four dimensions and in the normal state, the $WGC$ cannot hold due to the violation of the weak cosmic censorship conjecture ($WCCC$). But in this paper, in order to eliminate such a violation, we try to consider RN black hole at two cases, with quintessence, quintessence and cloud of strings in asymptotically flat and non-asymptotically flat. By using such metric background and applying restrictions on its parameters, we show that there will be a good compatibility between $WGC$ and $WCCC.$ Here, we can also see that quintessence case has less freedom in establishing compatibility than quintessence and cloud of strings. Because in the second case, the number of parameters is more and there is a degree of freedom to better establish the compatibility of two theories. Also, here we explain charged black hole in \emph{presence of quintessence and cloud of string} for $Q>M$ and use some interesting figures we show the corresponding the black hole has an event horizon.