## Induced
antigravitation in the extended general relativity

## 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 October 28, 2010

#### abstract

Extension of
the general relativity on the case of non-Riemannian geometries, suitable for
description of the space-time geometry, leads to integral dynamic equations,
which are valid for continuous and discrete space-times. Gravitational field of
homogeneous heavy non-rotating sphere is calculated inside the sphere. The
space-time geometry appears to be non-Riemannian. In the case, when the
gravitational radius of the sphere is of the order of the sphere radius, the
induced antigravitation appears inside the sphere. In other words, the
gravitational force inside the sphere appears to be directed from the sphere
center. The antigravitation resists to collapsing of the sphere and to
formation of a black hole.

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