An anisotropic standing wave braneworld and associated Sturm-Liouville problem

Details An anisotropic standing wave braneworld and associated Sturm-Liouville problem An anisotropic standing wave braneworld and associated Sturm-Liouville problem

2010-12-21

arxiv.org/abs/1012.4534v2

Class. Quantum Grav. 29 (2012) 025007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, uses iopart, presented at GR19, Mexico City, Mexico, 5-9 July 2010

Scientific paper

10.1088/0264-9381/29/2/025007

We present a consistent derivation of the recently proposed 5D anisotropic standing wave braneworld generated by gravity coupled to a phantom-like scalar field. We explicitly solve the corresponding junction conditions, a fact that enables us to give a physical interpretation to the anisotropic energy-momentum tensor components on the brane. So matter on the brane represents an oscillating fluid which emits anisotropic waves into the bulk. We also analyze the Sturm-Liouville problem associated to the correct localization condition of the transverse to the brane metric and scalar fields. It is shown that this condition restricts the physically meaningful space of solutions for the localization of the fluctuations of the model.

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