Generalized friedmann branes

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Abstract

We prove that for a large class of generalized Rahdall-Sundrum type II models the characterization of the brane-gravity sector by the effective Einstein equation, Codazzi equation and the twice-contracted Gauss equation is equivalent to the bulk Einstein equation. We give the complete set of equations in the generic case of non-Z2-symmetric bulk and arbitrary energy-momentum tensors both on the brane and in the bulk. Among these, the effective Einstein equation contains a varying cosmological "constant" and two new source terms. The first of these represents the deviation from Z2 symmetry, while the second arises from the bulk energy-momentum tensor. We apply the formalism for the case of a perfect fluid on a Friedmann brane embedded in a generic bulk. The generalized Friedmann and Raychaudhuri equations are given in a form independent of both the embedding and the bulk matter. They contain two new functions obeying a first order differential system, both depending on the bulk matter and the embedding. Then we focus oh Friedmann branes separating two nonidentical (inner or outer) regions of Reissner-Nordstrom-anti-de Sitter bulk space-times, generalizing previous non-Z2-symmetric treatments. Finally the analysis is repeated for the Vaidya-anti-de Sitter bulk space-time, allowing for both ingoing and outgoing radiation in each region.

Original languageEnglish
Article number124011
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume68
Issue number12
DOIs
Publication statusPublished - 2003

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Einstein equations
embedding
kinetic energy
Gauss equation
tensors
sectors
gravitation
formalism
deviation
fluids
symmetry
radiation

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Generalized friedmann branes. / Gergely, L.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 68, No. 12, 124011, 2003.

Research output: Contribution to journalArticle

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