Relativity and Cosmology


Gravitation and Cosmology Without Divergences

Authors: Alan M. Kadin

The orthodox general theory of relativity (GR) predicts metric divergences, typically when the normalized gravitational potential &phi= -½, giving rise to event horizons. But all standard experimental tests are in the regime where |&phi|<<1/2, suggesting that alternative large-potential extrapolations should be considered. A simple alternative formulation of GR is presented which focuses on gravitational time dilation and length contraction by a factor of (1-&phi), which is always > 1 since &phi < 0. This formulation duplicates the predictions of the orthodox theory for weak potentials with |&phi| << ½, but avoids all divergences for larger values. Furthermore, this suggests “dim stars” rather than black holes, and provides an intuitive picture of large gravitational red shifts in cosmic expansion.

Comments: 6 Pages. Submitted to Gravity Research Foundation, March 2018

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[v1] 2018-04-15 10:13:09

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