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Prog. Theor. Phys. Vol. 113 No. 5 (2005) pp. 963-978

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On the Stability of Naked Singularities with Negative Mass

Gary W. Gibbons, Sean A. Hartnoll and Akihiro Ishibashi

DAMTP, Centre for Mathematical Sciences, Cambridge University,
Wilberforce Road, Cambridge CB3 OWA, UK

(Received October 14, 2004)

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 only one particular boundary condition gives perturbations of finite energy and show that the spacetime is stable with this boundary condition.


URL : http://ptp.ipap.jp/link?PTP/113/963/
DOI : 10.1143/PTP.113.963

[ Full Text PDF (179K) ]  [ Buy This Article ]  Citation:

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