Preprint Article Version 1 This version is not peer-reviewed

Evolution of Growth Density Equation by Constraints on Effective Newtonian Constant Geff

Version 1 : Received: 14 May 2020 / Approved: 15 May 2020 / Online: 15 May 2020 (08:06:03 CEST)

How to cite: Capistrano, A. Evolution of Growth Density Equation by Constraints on Effective Newtonian Constant Geff. Preprints 2020, 2020050249 (doi: 10.20944/preprints202005.0249.v1). Capistrano, A. Evolution of Growth Density Equation by Constraints on Effective Newtonian Constant Geff. Preprints 2020, 2020050249 (doi: 10.20944/preprints202005.0249.v1).

Abstract

The acceleration of the universe is described as a consequence of the extrinsic curvature of the space-time embedded in a bulk space, defined by the Einstein-Hilbert. Using the linear approximation of Nash-Green theorem, we obtain the related perturbed equations in which just the gravitational-tensor field equations contribute to propagation of cosmological perturbations. In accordance with Big Bang Nucleosynthesis and solar constraints, we calculate numerically the effective Newtonian function Geff to constrain the related parameters of the model. We numerically solve the growth density equation for two possible family of solutions leading to an interesting overdensity and, in some cases, a mild damping of the growth profiles, with a top amplification of the growth perturbations around 14% in comparison with LCDM model and quintessence. The effective gravitational Phi and Newtonian curvature Psi are also analysed showing mild perturbations in early times induced only by the extrinsic curvature differently from the LambdaCDM standards.

Subject Areas

Embedding; Gravity; Growth matter evolution; Effective Newtonian constant

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