Preprint Article Version 1 This version not peer reviewed

The Impact of the Cosmological Constant on the Newtonian Gravity

Version 1 : Received: 21 May 2017 / Approved: 22 May 2017 / Online: 22 May 2017 (08:32:46 CEST)
Version 2 : Received: 31 May 2017 / Approved: 1 June 2017 / Online: 1 June 2017 (05:37:19 CEST)
Version 3 : Received: 8 August 2017 / Approved: 9 August 2017 / Online: 9 August 2017 (06:18:26 CEST)

How to cite: Roza, E. The Impact of the Cosmological Constant on the Newtonian Gravity. Preprints 2017, 2017050164 (doi: 10.20944/preprints201705.0164.v1). Roza, E. The Impact of the Cosmological Constant on the Newtonian Gravity. Preprints 2017, 2017050164 (doi: 10.20944/preprints201705.0164.v1).

Abstract

By solving the weak field limit of Einstein’s Field Equation including the Cosmological Constant, under the constraint of spherical isotropy, it is shown that, at large cosmological distance, the gravitational force exceeds the one that is predicted by Newton’s gravity law, such that it corresponds with Milgrom’s MOND hypothesis. However, the resulting prediction that, at extremely large distances, gravity with some spatial periodicity turns on-and-off into antigravity marks a decisive difference.

Subject Areas

Cosmological Constant; MOND; dark matter; antigravity

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