Stability of a Schwarzschild Singularity
T. Regge, John 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.
Topics & Concepts
Schwarzschild radiusSingularityDeriving the Schwarzschild solutionSchwarzschild metricPhysicsClassical mechanicsPerturbation (astronomy)Schwarzschild geodesicsRing singularityMathematical physicsKerr metricQuantum mechanicsMathematical analysisGravitationCharged black holeMathematicsGeneral relativityRelativity and Gravitational TheoryGeophysics and Gravity MeasurementsCosmology and Gravitation Theories