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Induced Phantom and 5D Attractor Solution in Space-Time-Matter Theory

Hongya Liu·Huanying Liu·Baorong Chang·Lixin Xu
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Abstract

In Spacetime-Matter theory we assume that the 4D induced matter of the $5D $ Ricci-flat bouncing cosmological solutions contains a perfect fluid as well as an induced scalar field. Then we show that the conventional 4D quintessence and phantom models of dark energy could be recovered from the $5D$ cosmological solutions. By using the phase-plane analysis to study the stability of evolution of the $5D$ models, we find that the conventional 4D late-time attractor solution is also recovered. This attractor solution shows that the scale factors of the phantom dominated universes in both the 4D and $5D$ theories will reach infinity in a finite time and the universes will be ended at a new kind of spacetime singularity at which everything will be annihilated. We also find that the repulsive force of the phantom may provide us with a mechanics to explain the bounce.

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Hongya Liu, Huanying Liu, Baorong Chang, Lixin Xu. 2005-07-20. Induced Phantom and 5D Attractor Solution in Space-Time-Matter Theory. https://doi.org/10.1142/s0217732305017366

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