Is an elastic, gravitating object stable?
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As I understand, an object can contract under its own gravitantional pull. Then as it does so, different parts of the object must move with some velocity. This in turn means that their relativistic mass will increase. Well we would have neglected this as the speed of the contracting matter might be small. But then the increase in mass leads to an even more increase in gravitating force. This leads to an even more contraction, according to Hook's law. This seem to mean that elastic objects will keep on contracting ad infinatum. Or in other words, relativity seems to predict that all objects will eventually become blackholes with time. Is this correct?
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Hey !
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The object of the analysis is to determine the strain produced in an elastic sphere by the action of disturbing forces of the type of tidal or centrifugal forces.
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Thanks !
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