Investigations of strong cosmic censorship in 3-dimensional black strings

Abstract

Investigating the quasinormal modes of a massive scalar field on the 3-dimensional black string (3dBS), we study the strong cosmic censorship (SCC) conjecture for the 3dBS in the T-dual relationship with the 3-dimensional rotating anti-de-Sitter (BTZ) black hole. It is shown that even though geometries of the two spacetimes are quite different, such as asymptotically AdS for the BTZ black hole and asymptotically flat for the 3dBS, the BTZ black hole and the 3dBS share similar properties for the SCC. Concretely speaking, the SCC conjecture can be violated even for asymptotically flat spacetime, i.e. the 3dBS. These observations lead us to an assumption that the T-dual transformation preserves spacetime symmetries, at least, which are relevant to the SCC. In addition, we find a new feature of the quasinormal mode at the Cauchy horizon: in the case of in the 3dBS, the spectral gap, αBS at the Cauchy horizon is not determined by the ‘ω-frequency mode’, but the ‘m-frequency mode’.

Strong cosmic censorship in light of weak gravity conjecture for charged black holes

“…There have been interesting outcomes regarding the violation of this conjecture near the extremal region at specific points [4]. The study of this conjecture in the structure of three-dimensional black strings has also carried interesting results, which you can see [5] for a deeper study. Also, you can see [6][7][8][9] for further study.…”

Strong Cosmic Censorship in light of Weak Gravity Conjecture for Charged Black Holes

“…There have been interesting outcomes regarding the violation of this conjecture near the extremal region at specific points [4]. The study of this conjecture in the structure of three-dimensional black strings has also carried interesting results, which you can see [5] for a deeper study. Studying the validity and violation of this conjecture in many recent studies in different conditions and frameworks has led to exciting results that you can see [6][7][8][9] for further study.…”

“…In the following, we obtain the extremality state of the RN-dS black hole. We will have the following relation for the RN-dS black hole with respect to equation (5),…”