PreprintCC BY 4.0arXiv
Hamiltonian formalism for a 5-D brane cosmolgy
Abstract
In this work we explores the dynamic solutions of a brane system in a five dimensional space-time under the Hamiltonian perspective, using the De Donner Weyl formalism. We obtain the dynamic equations for the scale factors, and obtain the Friedmann-like equations in general way. We present the solutions of the scale factors as a function of the extra coordinate, y, we show that the geometry is related to the matter-energy component in the brane. Finally, we develop the ADM formalism in the brane point of view with the foliation of the 3-dimensional space which is embedded in a 5-dimensional manifold.
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BibTeX
@misc{garcia2026hamiltonian,
title = {{Hamiltonian formalism for a 5-D brane cosmolgy}},
author = {José Socorro García and Juan Luis Pérez},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.00556},
eprint = {2610.00556},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.00556},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Hamiltonian formalism for a 5-D brane cosmolgy
AU - José Socorro García
AU - Juan Luis Pérez
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.00556
UR - https://arxiv.org/abs/2610.00556
AB - In this work we explores the dynamic solutions of a brane system in a five dimensional space-time under the Hamiltonian perspective, using the De Donner Weyl formalism. We obtain the dynamic equations for the scale factors, and obtain the Friedmann-like equations in general way. We present the solutions of the scale factors as a function of the extra coordinate, y, we show that the geometry is related to the matter-energy component in the brane. Finally, we develop the ADM formalism in the brane point of view with the foliation of the 3-dimensional space which is embedded in a 5-dimensional manifold.
ER -