Brane world models with bulk perfect fluid and broken 4D Poincaré invariance

Özgü Akarsu, Alexey Chopovsky, Maxim Eingorn, Seyed Hossein Fakhr, Alexander Zhuk

Research output: Contribution to journalArticlepeer-review

Abstract

We consider 5D brane world models with broken global 4D Poincaré invariance (4D part of the spacetime metric is not conformal to the Minkowski spacetime). The bulk is filled with the negative cosmological constant and may contain a perfect fluid. In the case of empty bulk (the perfect fluid is absent), it is shown that one brane solution always has either a physical or a coordinate singularity in the bulk. We cut off these singularities in the case of compact two brane model and obtain regular exact solutions for both 4D Poincaré broken and restored invariance. When the perfect fluid is present in the bulk, we get the master equation for the metric coefficients in the case of arbitrary bulk perfect fluid equation of state (EoS) parameters. In two particular cases of EoS, we obtain the analytic solutions for thin and thick branes. First one generalizes the well known Randall-Sundrum model with one brane to the case of the bulk anisotropic perfect fluid. In the second solution, the 4D Poincaré invariance is restored. Here, the spacetime goes asymptotically to the anti-de Sitter one far from the thick brane.

Original languageEnglish
Article number044024
JournalPhysical Review D
Volume97
Issue number4
DOIs
Publication statusPublished - 20 Feb 2018

Bibliographical note

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© 2018 American Physical Society.

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