1957Physical ReviewRequires access

Stability of a Schwarzschild Singularity

T. Regge, John Wheeler

Open publisher page 2,774 citations

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.

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What this paper is about

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.

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Available 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.

Key concepts: Schwarzschild radius, Singularity, Deriving the Schwarzschild solution, Schwarzschild metric, Physics, Classical mechanics, Perturbation (astronomy), Schwarzschild geodesics

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