123 citations · 726 across the 40 of their papers we have counts for
41 papers
Complete separation of variables in the geodesic Hamilton--Jacobi equation in four dimensions
M. O. Katanaev
We list all metrics of arbitrary signature in four dimensions which admit complete separation of variables in the Hamilton--Jacobi equation for geodesic Hamiltonians. There are onl…
Complete separation of variables in the geodesic Hamilton-Jacobi equation
M. O. Katanaev
We consider a (pseudo)Riemannian manifold of arbitrary dimension. The Hamilton-Jacobi equation for geodesic Hamiltonian admits complete separation of variables for some (separable)…
Nonrelativistic limit of the bosonic string
M. O. Katanaev
We propose the action for the nonrelativistic string invariant under general coordinate transformations on the string worldsheet. The Hamiltonian formulation for the nonrelativisti…
Spherically symmetric 't Hooft-Polyakov monopoles
M. O. Katanaev
A general analytic spherically symmetric solution of the Bogomol'nyi equations is found. It depends on two constants and one arbitrary function on radius and contains the Bogomol'n…
Gravity with dynamical torsion
M. O. Katanaev
We propose four simple Lagrangians for gravity models with dynamical torsion which are free from ghosts and tachyons. The torsion propagates two massive or massless particles of sp…
Disclinations in the geometric theory of defects
M. O. Katanaev
In the geometric theory of defects, media with a spin structure, for example, ferromagnet, is considered as a manifold with given Riemann--Cartan geometry. We consider the case wit…