35 citations · 421 across the 77 of their papers we have counts for
78 papers
Caustics type of gravitational singularities
G. A. Sardanashvily, E. G. Timoshenko
We describe a new type of gravitational singularities which are caustics of spatial-temporal foliations. An example of gravitational wave solution forming a singularity with causti…
Gauge model of the fifth force
G. A. Sardanashvily, E. G. Timoshenko
The Lagrangian and equations of the gauge model of the fifth fundamental interaction are constructed and the corresponding corrections to the Newtonian potential are obtained.
In memoriam: Dmitri Ivanenko
G. Sardanashvily
Dmitri Ivanenko, professor of Moscow State University, was one of the great theoreticians of XX century, an author of the proton-neutron model of atomic nucleus. In honor of the 11…
Partially superintegrable systems on Poisson manifolds
A. Kurov, G. Sardanashvily
Superintegrable systems on a symplectic manifold conventionally are considered. However, their definition implies a rather restrictive condition 2n=k+m where 2n is a dimension of a…
Differential calculus over N-graded commutative rings
G. Sardanashvily, W. Wachowski
The Chevalley-Eilenberg differential calculus and differential operators over N-graded commutative rings are constructed. This is a straightforward generalization of the differenti…
Lecture on Gauge Gravitation Theory. Gravity as a Higgs Field
G. Sardanashvily
Gravitation theory is formulated as gauge theory on natural bundles with spontaneous symmetry breaking where gauge symmetries are general covariant transformations, gauge fields ar…