Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Analysis to Quasi-Local Energy and Hamiltonian Constraint based on
  Variation   In this paper, by arising condition in variation, from equal time to
non-equal time, I reconsider how geometrodynamics equations allow to be derived
from variational principle in general relativity and then find the variation of
extrinsic curvature dependent only locally on its induced metric and unit
normal. I thus try to attribute the quasi-local energy to the integrability of
submanifold. At last I discuss the dynamical degrees of freedom on Hamiltonian
constraint by analyzing non-equal time variation which also represents a global
transformation.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin