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Stability of a Schwarzschild Singularity

Physical Review · 1957 · Vol. 108(4) · pp. 1063–1069
T. ReggeJohn Wheeler

Abstract

It is shown that a Schwarzschild singularity, spherically symmetrical and endowed with mass, will undergo small vibrations about the spherical form and will therefore remain stable if subjected to a small nonspherical perturbation.

Relativity and Gravitational TheoryGeophysics and Gravity MeasurementsCosmology and Gravitation TheoriesSchwarzschild radiusSingularityDeriving the Schwarzschild solutionSchwarzschild metricPhysicsClassical mechanicsPerturbation (astronomy)Schwarzschild geodesicsRing singularityMathematical physics

Funding

  • Princeton University
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