7 citations · 17 across the 6 of their papers we have counts for
6 papers
Analytical analysis of the origin of core-cusp matter density distributions in galaxies
A. D. Kapustin, S. A. Paston
We propose an analytical method to describe a matter density profile near a galaxy center. The description is based on the study of the distribution function of particles over poss…
Nontrivial isometric embeddings for flat spaces
S. A. Paston, T. I. Zaitseva
Nontrivial isometric embeddings for flat metrics (i.e., those which are not just planes in the ambient space) can serve as useful tools in the description of gravity in the embeddi…
Explicit isometric embeddings of pseudo-Riemannian manifolds: ideas and applications
A. A. Sheykin, M. V. Markov, Ya. A. Fedulov +1
We study the problem of construction of explicit isometric embeddings of (pseudo)-Riemannian manifolds. We discuss the method which is based in the idea that the exterior symmetry…
Explicit isometric embeddings of collapsing dust ball
A. D. Kapustin, M. V. Ioffe, S. A. Paston
The work is devoted to the search for explicit isometric embeddings of a metric corresponding to the collapse of spherically symmetric matter with the formation of a black hole. Tw…
Finite-size scaling of free energy in the dimer model on a hexagonal domain
Anton Nazarov, Sergey Paston
We consider dimer model on a hexagonal lattice. This model can be seen as a "pile of cubes in the box". The energy of configuration is given by the volume of the pile and the parti…
Classification of global minimal embeddings for nonrotating black holes
A. A. Sheykin, S. A. Paston
We consider the problem of the existence of global embeddings of metrics of spherically symmetric black holes into an ambient space with the minimal possible dimension. We classify…