MG15 - Talk detail

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Accepted

Yes

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Talk

Title

Abstract

The relativistic version of the gravitational instability criterion is studied in the first order of the post-Newtonian limit. In other words, we investigate the post-Newtonian Jeans analysis for a self-gravitating system whose characteristic velocity and corresponding gravitational field limit to the post- Newtonian regime. We have found the first relativistic corrections to the jeans mass and shown that this new Jeans mass can be smaller than the standard Jeans mass. In fact, this study reveals that the pressure and internal energy can have the gravitational effects even in the first post-Newtonian limit. Therefore, the post-Newtonian system can be more unstable by increasing the pressure and internal energy. Finally, we have calculated the new Jeans mass for several different astrophysical systems in which temperature/pressure is very high. By adding the post-Newtonian corrections in these systems, we have shown that the local and small perturbations can be threatened by gravitational instabilities in post-Newtonian gravity.

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