Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of a self-gravitating shell of matter   Dynamics of a self-gravitating shell of matter is derived from the Hilbert
variational principle and then described as an (infinite dimensional,
constrained) Hamiltonian system. A method used here enables us to define
singular Riemann tensor of a non-continuous connection {\em via} standard
formulae of differential geometry, with derivatives understood in the sense of
distributions. Bianchi identities for the singular curvature are proved. They
match the conservation laws for the singular energy-momentum tensor of matter.
Rosenfed-Belinfante and Noether theorems are proved to be still valid in case
of these singular objects. Assumption about continuity of the four-dimensional
spacetime metric is widely discussed.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th