# Massless Charged Particles, Naked Singularity, and Generalized   Uncertainty Principle in Reissner-Nordstr\"{o}m-de Sitter-like spacetime

**Authors:** Elias C. Vagenas, Ahmed Farag Ali, Hassan Alshal

arXiv: 1903.09634 · 2022-08-11

## TL;DR

This paper explores how the generalized uncertainty principle affects the cosmic censorship conjecture in charged black holes within de Sitter spacetime, analyzing whether naked singularities can form or are prevented.

## Contribution

It introduces a modified entropy and cosmological radius considering the generalized uncertainty principle, linking massless charged particles to the cosmic censorship conjecture.

## Key findings

- Modified entropy and radius depend on GUP parameters
- Conditions under which naked singularities may form or be prevented
- Potential implications for massless charged particles in black hole physics

## Abstract

Motivated by the endeavors of Li Xiang and You-Gen Shen on naked singularities, we investigate the validity of the cosmic censorship conjecture in the context of generalized uncertainty principle. In particular, upon considering both linear and quadratic terms of momentum in the uncertainty principle, we first compute the entropy of a massless charged black hole in de Sitter spacetime at a given modified temperature. Then, we compute the corresponding modified cosmological radius and express the black hole electric charge in terms of this modified cosmological radius and, thus, in terms of the generalized uncertainty principle parameter. Finally, we examine whether such a system will end up being a naked singularity or it might be protected by the cosmic censorship conjecture, and how that might be related to the possible existence of massless charged particles.

## Full text

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## Figures

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## References

94 references — full list in the complete paper: https://tomesphere.com/paper/1903.09634/full.md

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Source: https://tomesphere.com/paper/1903.09634