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Full Einstein Field Equations

April 1, 2018 in Articles, Gonzalo E. Reyes, Physics, Works on line | Tags: | by | Leave a comment

We derive Einstein field equations which were obtained for the vacuum only in a previous paper (see this website).

Full Einstein Field Equations

Straightening out Theorem

May 19, 2011 in Physics, Works on line | by | Leave a comment

Preliminary version

Straightening out Theorem

Second Order DE’s and Geodesics

May 19, 2011 in Physics, Works on line | by | Leave a comment

Preliminary version

Second order DEs and geodesics

Infinitesimal Inverse Function Theorem

May 19, 2011 in Physics, Works on line | by | Leave a comment

Preliminary version

Infinitesimal Inverse Function Theorem

A derivation of Einstein's vacuum field equations

December 9, 2009 in Articles, Gonzalo E. Reyes, Physics, Works on line | by | 1 comment

A derivation of Einstein’s vacuum field equations

General Relativity: Affine connections, parallel transport and sprays

January 21, 2009 in Gonzalo E. Reyes, Mathematics, Physics, Synthetic differential geometry, Works on line | by | Leave a comment

Preliminary version

General Relativity: Affine connections, parallel transport and sprays

Metrics, connections and curvature

November 5, 2006 in Gonzalo E. Reyes, Mathematics, Physics, Synthetic differential geometry, Works on line | by | Leave a comment

Preliminary version

Metrics, connections and curvature

Lie derivatives, Lie brackets and vector fields over curves

October 27, 2006 in Gonzalo E. Reyes, Mathematics, Physics, Synthetic differential geometry, Works on line | by | Leave a comment

Preliminary version

Lie derivatives, Lie brackets and vector fields over curves

Curvature and torsion of a connection

June 10, 2006 in Gonzalo E. Reyes, Mathematics, Physics, Synthetic differential geometry, Works on line | by | Leave a comment

Preliminary version

Curvature and Torsion of a connection

The Riemann-Christoffel tensor

May 6, 2006 in Gonzalo E. Reyes, Mathematics, Physics, Synthetic differential geometry, Works on line | by | Leave a comment

Preliminary version

The Riemann-Christoffel tensor