**AAS 204th Meeting, June 2004**

*Session 42 Cosmology and Lensing*

Poster, Tuesday, June 1, 2004, 10:00am-7:00pm, Ballroom
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## [42.05] Sinusoidal Potential and Cosmology

*D. F. Bartlett (University of Colorado)*

The nature of dark matter (and dark energy) remains a
mystery. An alternative is being explored by several
scientists: changing Einstein’s field equations. With the
exception of cosmologists, astronomers generally have been
content to test the older alternative, MOdified Newtonian
Dynamics (Milgrom 1984) that challenges Newton but leaves
relativistic gravity as an issue for the future. At recent
meetings of the AAS, I have presented evidence for a new,
non-Newtonian, potential, the sinusoidal potential, \phi =
(GM/r) cos(k_{o} r), where 2 \pi / k_{o} = 425 pc is a
proposed universal constant. Instead of Poisson’s equation,
this potential satisfies an equation similar to Helmholtz
equation, \nabla^{2}\phi_{m} +k_{o}^{2}\phi_{m} = 4\pi G \rho_{m}. At
AAS 200, I showed that a similar equation for electricity,
the Proca equation, \nabla^{2}\phi_{e} – k_{o}^{2}\phi_{e}= -4\pi
rho_{e} (with the same k_{o} as for gravity) could remove the
need for dark matter to bind the Coma cluster.

Conventional electrodynamics can readily be extended to
include k_{o} (Goldhaber & Nieto 1971). Recently I have
found how to include k_{o} in relativistic gravity. I will
show how this inclusion affects the interpretation of the
Cosmic Microwave Background and the expansion of the
universe.

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Bulletin of the American Astronomical Society, **36** #2

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