# On the validity of Strong Cosmic Censorship Conjecture in presence of Dirac fields

## TL;DR

This paper investigates the impact of Dirac fields on the Strong Cosmic Censorship Conjecture in Kerr-de Sitter black holes, revealing parameter regimes where the conjecture may not hold, extending previous scalar field analyses.

## Contribution

It extends prior work by analyzing Dirac fields in Kerr-de Sitter backgrounds, showing potential violations of the conjecture not observed with scalar fields.

## Key findings

- Existence of parameter space violating the conjecture with Dirac fields
- Extension of previous scalar field results to fermionic fields
- Implications for the deterministic nature of general relativity

## Abstract

A well posed theory of nature is expected to determine the future of an observer uniquely from a given set of appropriate initial data. In the context of general relativity, this is ensured by Penrose's strong cosmic censorship conjecture. But in recent years, several examples are found which suggest breakdown of the deterministic nature of the theory in Reissner-Nordstrom-de Sitter black holes under the influence of different fundamental fields. Nevertheless, the situation has been reassuring for the case of astrophysically meaningful Kerr-de Sitter black hole solutions which seems to respect the conjecture. However, the previous analyses were done considering only the effect of scalar fields. In this paper, we extend the study by considering Dirac fields in Kerr-de Sitter background and show that there exist a parameter space which does not respect the conjecture.