Metric fluctuations from a NKK theory of gravity in a de Sitter expansion

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Talk notes accepted for publication in the proceedings of the 6th Workshop on Gravitation and Mathematical Physics, Metepec, M

Scientific paper

A gauge invariant metric fluctuations formalism from a non-compact Kaluza-Klein (NKK) theory of gravity is presented in this talk notes. In this analysis we recover the well-known result $\frac{delta \rho}{\rho}\simeq 2\Phi$ obtained typically in the standard 4D semiclassical approach to inflation and also the spectrum of this fluctuations becomes dependent of the fifth (space-like) coordinate. This fact allows to establish an interval of values for the wave number associated with the fifth dimension.

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