Examining the weak cosmic censorship conjecture by gedanken experiments for an EMDA black hole

TL;DR

This paper uses advanced thought experiments to test the weak cosmic censorship conjecture for EMDA black holes, finding that such black holes cannot be over-charged or over-spun when considering second-order effects.

Contribution

It extends the gedanken experiment framework to EMDA black holes and confirms the WCCC holds when second-order perturbations are included.

Findings

No violation of WCCC for near-extremal EMDA black holes.

Second-order corrections prevent over-charging or over-spinning.

Supports the robustness of cosmic censorship in complex black hole models.

Abstract

In the framework of the new version of the gedanken experiments proposed by Sorce and Wald, we investigate the weak cosmic censorship conjecture (WCCC) for an Einstein-Maxwell-Dilaton-Axion (EMDA) black hole. Our result shows that no violations of WCCC can occur with the increase of the background solution parameters for this near-extremal EMDA black hole when the second order correction of the perturbations is taken into account. Namely, the near-extremal EMDA black hole cannot be over-charged or over-spun.