On a Phenomenological Modification of Einstein's Gravitational Lagrangian

Physics

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Scientific paper

A phenomenological approach to the modification of Einstein's gravitational Lagrangian is proposed, in order to arrive at a regular isotropic model-universe being stable with respect to the excitation of gravitational and rotational waves in such a way that the modification does not seriously disturb the success of general relativity for the solar gravitational field. It is shown that the substratum of our model-universe at the bounce epoch must be dominated by the hadronic matter whose density is not lower than 5 {×} 1046 g/cm^3, if we stand on Hagedorn's picture for supra-nuclear matter. It is noticeable that our Lagrangian is equivalent to Einstein's so far as a static and spherically symmetric vacuum field is concerned. Several interesting problems to be studied on the basis of our modified theory of general relativity are also touched upon.

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