© 2016 American Physical Society.We study the radial and nonradial motion of massive test particles and photons in a three-parameter family of cylindrically symmetric wormholes WhCRe generated by the electromagnetic, ...

In the framework of projective-geometric theory of systems of differential equations developed by the authors, this paper studies the group properties of systems of two (resolved with respect to the second derivatives) ...

© 2017, Allerton Press, Inc.The paper is devoted to the problem of determining of 5-dimensional pseudo-Riemannian manifolds (M, g) admitting projective motions (h-spaces). A similar problem for n-dimensional proper Riemannian ...

It is proved that every projective connection on an n-dimensional manifold M is locally defined by a system script capital L sign of n - 1 second-order ordinary differential equations resolved with respect to the second ...

The symmetries of equations of motion for probe bodies (projective symmetries) and the corresponding laws of conservation in the K-spaces determined by the gravitational fields of type (3) are studied. The results define ...

We study cylindrically symmetric Abelian wormholes in (4+n)-dimensional Kaluza-Klein theory. It is shown that static, four-dimensional, cylindrically symmetric solutions in (4+n)-dimensional Kaluza-Klein theory with maximal ...

In the framework of the projective geometric theory of systems of differential equations, which is being developed by the authors, conditions which ensure that a family of graphs of solutions of a system of m second-order ...