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Excluded Volume for Flat Galaxy Rotation Curves in Newtonian Gravity and General Relativity

Authors
  • dannenberg, rand
Publication Date
Mar 04, 2020
Identifiers
DOI: 10.3390/sym12030398
OAI: oai:mdpi.com:/2073-8994/12/3/398/
Source
MDPI
Keywords
Language
English
License
Green
External links

Abstract

Using the classical vacuum solutions of Newtonian gravity that do not explicitly involve matter, dark matter, or the gravitational constant, subject to an averaging process, a form of gravity relevant to the flattening of galaxy rotation curves results. The latter resembles the solution found if the vacuum is simply assigned a gravitational field density, and a volume of the vacuum is then excluded, with no averaging process. A rationale then follows for why these terms would become important on the galactic scale. Then, a modification of General Relativity, motivated by the Newtonian solutions, that are equivalent to a charge void, is partially defined and discussed in terms of a least action principle.

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