Institute for Problems in Mechanics, Russian
Academy of Sciences
101-1 ,Vernadskii Ave., Moscow, 119526, Russia
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
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.