TL;DR
This paper explores five-dimensional vacuum cosmology with Bianchi type-IX geometry, introduces new solutions, and demonstrates the absence of deterministic chaos, providing insights within induced matter theory.
Contribution
It presents a new class of solutions in five-dimensional vacuum cosmology and analyzes the chaotic behavior, which was previously thought possible.
Findings
New solutions for 5D vacuum cosmology with Bianchi IX geometry
Deterministic chaos is ruled out in this model
Implications for induced matter theory
Abstract
We consider a five dimensional vacuum cosmology with Bianchi type-IX spatial geometry and an extra non-compact coordinate. Finding a new class of solutions, we examine and rule out the possibility of deterministic chaos. We interpret this result within the context of induced matter theory.
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