Brane-world generalizations of the Einstein static universe

Details Brane-world generalizations of the Einstein static universe Brane-world generalizations of the Einstein static universe

2001-05-17

arxiv.org/abs/gr-qc/0105058v2

Class.Quant.Grav. 19 (2002) 213-222

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

additional interpretation of new solutions; accepted by Class.Quant.Grav

Scientific paper

10.1088/0264-9381/19/2/303

A static Friedmann brane in a 5-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 rho>0 and rho+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.

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