3 papers
gr-qc2023
Gravity as embedding theory and the distribution of matter in galaxies
S. A. Paston, A. D. Kapustin
The description of gravity in the form of an embedding theory is based on the hypothesis that our space-time is a four-dimensional surface in a flat ten-dimensional space. The choi…
gr-qc2020
Explicit isometric embeddings of black holes geometry with non-singular matter distribution
A. D. Kapustin, S. A. Paston
The work is devoted to the construction of explicit embeddings for the metrics of the black holes, formed by nonsingular matter distribution. One of the possible examples of such t…
gr-qc2020
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…