Relativity and Cosmology


A Formulation of Vacuum Euclidean Gravity on a General Class of Metric Spaces.

Authors: Johan Noldus

A general geometric apparatus extending the standard calculus on Riemannian manifolds in a coordinate independent way is developed. It is, moreover, obvious that all quantities involved give rise to the correct limits in such case when convergence is subtle enough. We finish by giving the correct equivalent of the Einstein tensor which approximately is covariantly conserved on a certain deformation scale.

Comments: 15 Pages.

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Submission history

[v1] 2018-04-03 05:16:53
[v2] 2018-05-07 14:33:58
[v3] 2018-05-27 20:22:53
[v4] 2018-06-19 06:34:54
[v5] 2018-06-26 08:34:32
[v6] 2018-07-02 13:54:19
[v7] 2018-09-13 13:23:36

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