Examining the weak cosmic censorship conjecture by gedanken experiments for Kerr-Sen black holes

TL;DR

This paper tests the weak cosmic censorship conjecture for Kerr-Sen black holes using advanced gedanken experiments and finds it holds when second-order perturbations are considered.

Contribution

It extends the gedanken experiment approach to Kerr-Sen black holes within heterotic string theory, incorporating second-order perturbation inequalities.

Findings

Kerr-Sen black holes cannot be overspun or overcharged after second-order analysis.

First-order perturbations suggest possible destruction, but second-order corrections prevent it.

Weak cosmic censorship conjecture is upheld for Kerr-Sen black holes at this level.

Abstract

In this paper, we investigate the weak cosmic censorship conjecture for the Kerr-Sen black holes by considering the new version of the gedanken experiments proposed recently by Sorce and Wald. After deriving the first two order perturbation inequalities in the low energy limit of heterotic string theory based on the Iyer-Wald formalism and applying it into the Kerr-Sen black hole, we find that the Kerr-Sen black hole can not be overspun or overcharged by the charged matter collision after taking into account the second-order perturbation inequality, although they can be destroyed by the scene only considering the first-order perturbation inequality. Therefore, the weak cosmic censorship conjecture is preserved in the Kerr-Sen black hole at this level.