We consider two stars which initially were at rest with each other, and were gravitationally influencing each other. We assume a kind of gravitation force which propagates at light speed. Now we give equal velocity (in relatively opposite direction) to both stars. Since gravity is propagated at 'c', and hence delayed, the direction of force on one star will be at retarded position of other. Clearly line of force will be slightly deviated from center of mass, thus leading to a non-central component in force. One can easily see that this force will in some time lead to exponential separation in both stars, if energy of the system is conserved. Thus system wont be stable.(adsbygoogle = window.adsbygoogle || []).push({});

I think that such a situation will never be achieved due to gravitational radiation. Is it true or is there some way to clear the stability problem?

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# Stability of relativistic double star system

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