Gödel Type solution with rotation, expansion and closed time-like curves

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, AMStex

Scientific paper

We propose a time-varying parameter $\underline{\alpha}$ for G\"{o}del metric and an energy momentum tensor corresponding to this geometry is found. To satisfy covariance arguments time-varying gravitational and cosmological term are introduced. The ``Einstein's equation'' for this special evolution for the Universe are written down where expansion, rotation and closed time-like curves appear as a combination between standard model, G\"{o}del and steady state properties are obtained.

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