An exact solution of the five-dimensional Einstein equations with four-dimensional de Sitter-like expansion

Abstract

We present an exact solution to the Einstein field equations which is Ricci and Riemann flat in five dimensions, but in four dimensions is a good model for the early vacuum-dominated universe.

6 pages; to appear in Journal of Mathematical Physics; v2: reference 3 corrected

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Cited by in corpus (12)

• Stochastic gravitoelectromagnetic inflation
• Stabilization of test particles in Induced Matter Kaluza-Klein theory
• Decaying cosmological parameter in the early universe from NKK theory of gravity
• Noncompactified Kaluza--Klein Gravity
• Space Time Matter inflation
• Primordial large-scale electromagnetic fields from Gravitoelectromagnetic Inflation
• Semiclassical corrections to the Einstein equation and Induced Matter Theory
• Self-similar cosmologies in 5D: Our universe as a topological separation from an empty 5D Minkowski space
• A five-dimensional vacuum-defect wormhole space-time
• Induced matter: Curved N-manifolds encapsulated in Riemann-flat N+1 dimensional space
• Higher-dimensional topologically charged traversable defect wormhole with non-exotic matter
• Cosmological expansion governed by a scalar field from a 5D vacuum