Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamiltonian analysis of General Relativity and extended gravity from the
  iterative Faddeev-Jackiw symplectic approach   We show how to systematically apply the Faddeev-Jackiw symplectic method to
General Relativity (GR) and to GR extensions. This provides a new coherent
frame for Hamiltonian analyses of gravitational theories. The emphasis is on
the classical dynamics, uncovering the constraints, the gauge transformations
and the number of degrees of freedom; but the method results are also relevant
for canonical quantization approaches. We illustrate the method with three
applications: GR and to two Brans-Dicke cases (the standard case $\omega \not=
- 3/2$ and the case with one less degree of freedom, $\omega = - 3/2$). We
clarify subtleties of the symplectic approach and comment on previous
symplectic-based Hamiltonian analyses of extended theories of gravity, pointing
out that the present approach is systematic, complete and robust.

21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci