## General
relativity extended to non-Riemannian space-time geometry.

## Yuri A. Rylov

*Institute for Problems in Mechanics, Russian
Academy of Sciences*

* 101-1 ,Vernadskii Ave., Moscow, 119526, Russia*

* email: rylov@ipmnet.ru*

Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm

or mirror Web site: http://gasdyn-ipm.ipmnet.ru/~rylov/yrylov.htm

Updated December 21, 2013

#### abstract

The gravitation
equations of the general relativity, written for Riemannian space-time geometry,
are extended to the case of arbitrary (non-Riemannian) space-time geometry. The
obtained equations are written in terms of the world function in the
coordinateless form. These equations determine directly the world function,
(but not only the metric tensor). As a result the space-time geometry appears
to be non-Rieamannian. Invariant form of the obtained equations admits one to
exclude influence of the coordinate system on solutions of dynamic equations.
Anybody, who trusts in the general relativity, is to accept the extended
general relativity, because the extended theory does not use any new
hypotheses. It corrects only inconsequences and restrictions of the
conventional conception of general relativity. The extended general relativity
predicts an induced antigravitation, which eliminates existence of black
holes..

There is
text of the paper in English (pdf)
and in Russian (ps, pdf)
and figure