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- W1932806157 abstract "This work wants to show how standard General Relativity (GR) is able to explain galactic rotation curves without the need for matter, this starting from the idea that when Einstein's equations are applied to the dynamics of a galaxy embedded in an expanding universe they do not reduce to Poisson's equation but a generalisation of it taking cosmological expansion into account. A non-linear scheme to perturb Einstein's field equations around the Robertson-Walker (R-W) metric is devised in order to find their non-relativistic limit without losing their characteristic non-linearities. The resulting equation is used to numerically study the gravitational potential of a cosmological perturbation and applied to a simple galactic model with an exponentially decreasing baryonic distribution. The non-relativistic limit of GR in a R-W space-time produces a generalised Poisson equation for the gravitational potential which is non-linear, parabolic and heat-like. It is shown how its non-linearities generate an effective dark matter distribution caused by both cosmological expansion and the dynamics of the perturbation's gravitational potential. It is also shown how this dynamical effect gets completely lost during a linearisation of Einstein's equations. The equation is then used to successfully fit real galactic rotation curves numerically using a distribution following the shape of a simple Sersic luminosity profile, common to most galaxies, thus without recourse to matter. A relation for the to luminous ratio is found, explaining the domination of in low-mass galaxies. A few rotation curves with a faster than Newtonian decrease are also presented and successfully fitted, opening the way to a new possible interpretation of these phenomena in terms of an effective anti-gravitational distribution, purely geometrical in origin." @default.
- W1932806157 created "2016-06-24" @default.
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- W1932806157 date "2014-09-04" @default.
- W1932806157 modified "2023-09-27" @default.
- W1932806157 title "Galactic Dark Matter: a Dynamical Consequence of Cosmological Expansion" @default.
- W1932806157 hasPublicationYear "2014" @default.
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