On the stability of naked singularities

2004/09/30 by G. W. Gibbons, Gary W. Gibbons, Sean A. Hartnoll +3 · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc #hep-th

paper · pdf · doi:10.1143/ptp.113.963

published as Prog.Theor.Phys.113:963-978,2005 · 20 pages. 5 figures

arxiv created 2004/09/30 · crossref issued 2005/05/01 · crossref published 2005/05/01 · crossref published-print 2005/05/01 · openalex publication_date 2005/05/01 · crossref created 2005/07/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · crossref deposited 2017/08/24 · crossref indexed 2026/07/30 · openalex updated_date 2026/08/03

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.

Citations

• Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
• Stability of a Schwarzschild Singularity

Cited by

• Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields
• Instability of charged and rotating naked singularities
• Instability of the negative mass Schwarzschild naked singularity
• Stability of naked singularities and algebraically special modes
• No-go theorem for bimetric gravity with positive and negative mass
• INSTABILITIES OF NAKED SINGULARITIES AND BLACK HOLE INTERIORS IN GENERAL RELATIVITY