Single metric universe I :Modified Newtonian Mechanics. (arXiv:1601.00376v6 [astro-ph.CO] UPDATED)

<a href="http://arxiv.org/find/astro-ph/1/au:+Wong_C/0/1/0/all/0/1">C. C. Wong</a> (U. of Hong Kong)

A few years ago Baker cite{baker} proposed a Lema$hat{i}$tre-Tolman metric

which could vary smoothly between the Schwarzschild metric at small scales and

the Friedmann-Robertson-Walker (FRW) metric at large scales. As it stands, by

implementing the Bona-Stela construction cite{bona} its predictions are

incompatible with solar system data. We find a different metric within the same

class which avoids this problem while introducing a MOND-like gravitational

acceleration which dominates Newtonian gravity for low central baryoinc

densities at early time, that can go some way to explain the growth rate of the

baryonic matter density perturbation and the enhancement of the higher CMB

acoustic peak anisotropies.

A few years ago Baker cite{baker} proposed a Lema$hat{i}$tre-Tolman metric

which could vary smoothly between the Schwarzschild metric at small scales and

the Friedmann-Robertson-Walker (FRW) metric at large scales. As it stands, by

implementing the Bona-Stela construction cite{bona} its predictions are

incompatible with solar system data. We find a different metric within the same

class which avoids this problem while introducing a MOND-like gravitational

acceleration which dominates Newtonian gravity for low central baryoinc

densities at early time, that can go some way to explain the growth rate of the

baryonic matter density perturbation and the enhancement of the higher CMB

acoustic peak anisotropies.

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