On the stability of naked singularities

Abstract

We study the linearised stability of the nakedly singular negative mass Schwarzschild solution against gravitational perturbations. There is a one parameter family of possible boundary conditions at the singularity. We give a precise criterion for stability depending on the boundary condition. We show that one particular boundary condition is physically preferred and show that the spacetime is stable with this boundary condition.

arXiv comment20 pages. 5 figures

References in corpus (11)

• A Large Mass Hierarchy from a Small Extra Dimension
• A Stress Tensor for Anti-de Sitter Gravity
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Can the dark energy equation-of-state parameter w be less than -1?
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• Gravitational instability in higher dimensions
• Quantum Probes of Spacetime Singularities
• Who's Afraid of Naked Singularities?
• The Value of Singularities
• Phantom Matter and the Cosmological Constant
• Many accelerating black holes

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