Preprint Article Version 1 This version is not peer-reviewed

Analysis on the Evolution of the Effective Geff from Linear Nash-Green Fluctuations

Version 1 : Received: 5 June 2020 / Approved: 7 June 2020 / Online: 7 June 2020 (09:32:26 CEST)

How to cite: Capistrano, A.J.; Cabral, L.A.; Marão, J.A.P.F.; Coimbra-Araújo, C.H. Analysis on the Evolution of the Effective Geff from Linear Nash-Green Fluctuations. Preprints 2020, 2020060075 (doi: 10.20944/preprints202006.0075.v1). Capistrano, A.J.; Cabral, L.A.; Marão, J.A.P.F.; Coimbra-Araújo, C.H. Analysis on the Evolution of the Effective Geff from Linear Nash-Green Fluctuations. Preprints 2020, 2020060075 (doi: 10.20944/preprints202006.0075.v1).

Abstract

From the linear Nash-Green fluctuations of background metric, we present the perturbation equations in an embedded four space-time. In the context of a five-dimensional bulk, we show that the perturbations are only propagated by the gravitational tensorial field equation. In a Newtonian conformal gauge, we study the matter density evolution in sub-horizon regime and on how such scale may be affected by the extrinsic curvature. We use the "extended Gold 2018'' growth dataset with 25 datapoints and the best fit Planck2018/LambdaCDM parameters. Hence, we determine the evolution equation for the density growth delta(a) as a result from the embedded equations of the background geometry. By using solar constraints, we analyse the evolution of the effective Newtonian constant Geff and showing that applying Taylor expansion to Geff (a) under the constraint of time-derivative of Geff(0)=G at a= 1 in matter domination era, we get an agreement with Big Bang Nucleosynthesis (BBN) and also an alleviation of the 3-sigma tension to 1-sigma contour between (sigma8-Omegam) of the observations from Cosmic Microwave Background (CMB) and Large Scale Structure (LSS) probes.

Subject Areas

dark energy; Linear Nash perturnbations; sigma8 discrepancy

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