Brane singularities and their avoidance

Autor: Ignatios Antoniadis, Spiros Cotsakis, Ifigeneia Klaoudatou
Rok vydání: 2010
Předmět:
Zdroj: Class. Quantum Gravity, (2010) pp. 235018
DOI: 10.48550/arxiv.1010.6175
Popis: The singularity structure and the corresponding asymptotic behavior of a 3-brane coupled to a scalar field or to a perfect fluid in a five-dimensional bulk is analyzed in full generality using the method of asymptotic splittings. In the case of the scalar field, it is shown that the collapse singularity at a finite distance from the brane can be avoided only at the expense of making the brane world-volume positively or negatively curved. In the case where the bulk field content is parametrized by an analogue of perfect fluid with an arbitrary equation of state P=\gamma\rho between the `pressure' P and the `density' \rho, our results depend crucially on the constant fluid parameter \gamma: (i) For \gamma>-1/2, the flat brane solution suffers from a collapse singularity at finite distance, that disappears in the curved case. (ii) For \gamma
Comment: 37 pages, latex, merged version of arXiv:1005.3221 and arXiv:1004.3379, to appear in Class.Quant.Grav
Databáze: OpenAIRE