On the Stability of Naked Singularities with Negative Mass | Zendy

G. W. Gibbons | Zendy; Sean A. Hartnoll | Zendy; Akihiro Ishibashi | Zendy

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On the Stability of Naked Singularities with Negative Mass

Author(s) -

G. W. Gibbons,

Sean A. Hartnoll,

Akihiro Ishibashi

Publication year - 2005

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.113.963

Subject(s) - physics , naked singularity , gravitational singularity , singularity , boundary value problem , boundary (topology) , energy condition , spacetime , stability (learning theory) , schwarzschild radius , classical mechanics , gravitation , mathematical physics , mathematical analysis , general relativity , quantum mechanics , mathematics , machine learning , computer science

We study the linearised stability of the nakedly singular negative massSchwarzschild solution against gravitational perturbations. There is a oneparameter family of possible boundary conditions at the singularity. We give aprecise criterion for stability depending on the boundary condition. We showthat one particular boundary condition is physically preferred and show thatthe spacetime is stable with this boundary condition.Comment: 20 pages. 5 figure

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