Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamilton-Jacobi approach for Regge-Teitelboim cosmology   The Hamilton-Jacobi formalism for a geodetic brane-like universe described by
the Regge-Teitelboim model is developed. We focus on the description of the
complete set of Hamiltonians that ensure the integrability of the model in
addition to obtaining the Hamilton principal function $S$. In order to do this,
we avoid the second-order in derivative nature of the model by appropriately
defining a set of auxiliary variables that yields a first-order Lagrangian.
Being a linear in acceleration theory, this scheme unavoidably needs an
adequate redefinition of the so-called Generalized Poisson Bracket in order to
achieve the right evolution in the reduced phase space. Further this
Hamilton-Jacobi framework also enables us to explore the quantum behaviour
under a semi-classical approximation of the model. A comparison with the
Ostrogradski-Hamilton method for constrained systems is also provided in
detail.

26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg