Brane-world generalizations of the Einstein static universe

László A. Gergely*, Roy Maartens

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A static Friedmann brane in a five-dimensional bulk (Randall-Sundrum-type scenario) can have a very different relation between the density, pressure, curvature and cosmological constant than in the case of the general relativistic Einstein static universe. In particular, static Friedmann branes with zero cosmological constant and 3-curvature, but satisfying p > 0 and p + 3p > 0, are possible. Furthermore, we find static Friedmann branes in a bulk that satisfies the Einstein equations but is not Schwarzschild-anti-de Sitter or its specializations. In the models with negative bulk cosmological constant, a positive brane tension leads to negative density and 3-curvature.

Original languageEnglish
Pages (from-to)213-221
Number of pages9
JournalClassical and Quantum Gravity
Issue number2
Publication statusPublished - 21 Jan 2002


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