Scalar perturbations to naked singularities of perfect fluid

2025/05/27 by Junbin Li, Li, Junbin, Xi-Ping Zhu +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #General Relativity and Quantum Cosmology (gr-qc) #Geomagnetism and Paleomagnetism Studies

paper · pdf · doi:10.48550/arxiv.2505.20766

openalex publication_date 2025/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the instability of naked singularities arising in the Einstein equations coupled with isothermal perfect fluid. We show that the spherically symmetric self-similar naked singularities of this system, are unstable to trapped surface formation, under C^1,α perturbations of an external massless scalar field. We viewed this as a toy model in studying the instability of these naked singularities under gravitational perturbations in the original Einstein--Euler system which is non-spherically symmetric.

Citations

• A Proof of Weak Cosmic Censorship Conjecture for the Spherically Symmetric Einstein-Maxwell-Charged Scalar Field System
• High regularity waves on self-similar naked singularity interiors: decay and the role of blue-shift
• Naked singularities in the Einstein-Euler system
• Naked Singularities for the Einstein Vacuum Equations: The Interior Solution
• Instability of spherical naked singularities of a scalar field under gravitational perturbations
• The Formation of Black Holes in General Relativity
• Universality and scaling in gravitational collapse of a massless scalar field
• Strengths of naked singularities in Tolman-Bondi spacetimes

Cited by

• Interior instability of naked singularities of a scalar field

Related

• Interior instability of naked singularities of a scalar field
• Instability of spherical naked singularities of a scalar field under gravitational perturbations
• A construction of approximately self-similar naked singularities for the spherically symmetric Einstein-scalar field system
• Naked Singularities for the Einstein Vacuum Equations: The Exterior Solution
• Naked singularity and black hole formation in self-similar Einstein-scalar fields with exponential potentials