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

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.

ws-mpla.cls, 9 pages, 1 figure, new references added

References in corpus (5)

• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Exponential potentials and cosmological scaling solutions
• Kaluza-Klein Gravity
• Universe Models with a Variable Cosmological "Constant" and a "Big Bounce"
• Five-Dimensional Cosmological Scaling Solution

Cited by in corpus (13)

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• Statefinder Parameters for Interacting Phantom Energy with Dark Matter
• Statefinder Parameters for Five-Dimensional Cosmology
• Universe Evolution in a 5D Ricci-flat Cosmology
• The Most Probable Size of the Universe
• Reconstruction of $5D$ Cosmological Models From Equation of State of Dark Energy
• Statefinder Diagnostic for Phantom Model with $V(\varphi )=V_0\exp (-\lambda {\varphi }^2)$
• Using (4+1) split and energy conditions to study the induced matter in 5D Ricc-flat cosmology
• Reconstruction of 5D Cosmological Model From Recent Observations
• Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
• Dark Energy in Global Brane Universe
• $5D$ Solutions to $\Lambda$CDM Universe Derived from Global Brane Model