Stability of the Einstein static universe in presence of vacuum energy

Details Stability of the Einstein static universe in presence of vacuum energy Stability of the Einstein static universe in presence of vacuum energy

2009-07-27

arxiv.org/abs/0907.4795v2

Phys.Rev.D80:043528,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

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Scientific paper

10.1103/PhysRevD.80.043528

The Einstein static universe has played a central role in a number of emergent scenarios recently put forward to deal with the singular origin of the standard cosmological model. Here we study the existence and stability of the Einstein static solution in presence of vacuum energy corresponding to conformally-invariant fields. We show that the presence of vacuum energy stabilizes this solution by changing it to a centre equilibrium point, which is cyclically stable. This allows non-singular emergent cosmological models to be constructed in which initially the universe oscillates indefinitely about an initial Einstein static solution and is thus past eternal.

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