An anisotropic standing wave braneworld and associated Sturm-Liouville problem

作者：Gogberashvili Merab^*; Herrera Aguilar Alfredo; Malagon Morejon Dagoberto

来源：Classical and Quantum Gravity, 2012, 29(2): 025007.

DOI：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 of 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 with 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.

• 出版日期2012-1-21