Cosmological Consequences of the Chain Rule

Details Cosmological Consequences of the Chain Rule Cosmological Consequences of the Chain Rule

Mar 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aps..nes..d001s&link_type=abstract

American Physical Society, New England 2004 Meeting, 26-27 March, 2004, Exeter, NH. MEETING ID: NES04, abstract #D.001

Physics

Scientific paper

The momentum density of a thin disc galaxy is composed of a constant velocity profile and a mass density that drops off exponentially with distance from the center. A relativistic force density obeys the chain rule: [fracpartial ρ U^μpartial τ = ρ fracpartial U^μpartial τ + fracpartial ρpartial τ U^μ] A derivative with respect to spacetime may in the classical limit become a derivative with respect to space or time. This classical gravitational law: [- fracG ρ MR^2 hatR = c fracpartial ρpartial R U] applies to a system with a constant velocity profile and an exponentially decaying mass density. The chain rule may eliminate the need for dark matter to explain motion of disc galaxies.

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