123 citations · 726 across the 40 of their papers we have counts for
19 papers · 1 filter
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)…
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…
Global properties of warped solutions in General Relativity with an electromagnetic field and a cosmological constant. II
D. E. Afanasev, M. O. Katanaev
We consider general relativity with cosmological constant minimally coupled to the electromagnetic field and assume that the four-dimensional space-time manifold is a warped produc…
Killing vector fields and a homogeneous isotropic universe
M. O. Katanaev
Some basic theorems on Killing vector fields are reviewed. In particular, the topic of a constant-curvature space is examined. A detailed proof is given for a theorem describing th…
On homogeneous and isotropic universe
M. Katanaev
We give a simple example of spacetime metric, illustrating that homogeneity and isotropy of space slices at all moments of time is not obligatory lifted to a full system of six Kil…