Brane-world singularities and asymptotics of five-dimensional bulk fluids.
Philos Trans A Math Phys Eng Sci
; 380(2230): 20210180, 2022 Aug 22.
Article
em En
| MEDLINE
| ID: mdl-35785973
ABSTRACT
We review studies on the singularity structure and asymptotic analysis of a 3-brane (flat or curved) embedded in a five-dimensional bulk filled with a 'perfect fluid' with an equation of state [Formula see text], where [Formula see text] is the 'pressure' and [Formula see text] is the 'density' of the fluid, depending on the fifth space coordinate. Regular solutions satisfying positive energy conditions in the bulk exist only in the cases of a flat brane for [Formula see text] or of AdS branes for [Formula see text]. More cases can be found by gluing two regular brunches of solutions at the position of the brane. However, only a flat brane for [Formula see text] leads to finite Planck mass on the brane and thus localizes gravity. In a more recent work, we showed that a way to rectify the previous findings and obtain a solution for a flat brane and a range of [Formula see text], which is both free from finite-distance singularities and compatible with the physical conditions of energy and finiteness of four-dimensional Planck mass, is by introducing a bulk fluid component that satisfies a nonlinear equation of state of the form [Formula see text] with [Formula see text] and [Formula see text]. This article is part of the theme issue 'The future of mathematical cosmology, Volume 2'.
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Philos Trans A Math Phys Eng Sci
Assunto da revista:
BIOFISICA
/
ENGENHARIA BIOMEDICA
Ano de publicação:
2022
Tipo de documento:
Article
País de afiliação:
França