https://doi.org/10.1140/epjc/s10052-013-2452-4
Regular Article - Theoretical Physics
Quasi-homologous spherically symmetric branes and their symmetry breaking
1
Instituto de Física Teórica, UNESP—Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271, Bloco II, Barra-Funda, Caixa Postal 70532-2, 01156-970, São Paulo, SP, Brazil
2
Departamento de Física e Química, UNESP—Universidade Estadual Paulista, Av. Dr. Ariberto Pereira da Cunha, 333, Guaratinguetá, SP, Brazil
* e-mail: mabdalla@ift.unesp.br
Received:
2
April
2013
Revised:
7
May
2013
Published online:
5
June
2013
We revisit the dynamical system-based approach of spherically symmetric vacuum braneworlds, pointing out and studying the existence of a transcritical bifurcation as the dark pressure parameter changes its sign, we analyze some consequences of not discard the brane cosmological constant. For instance, it is noteworthy that the existence of an isothermal state equation between the dark fluid parameters cannot be obtained via the requirement of a quasi-homologous symmetry of the vacuum.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
