Dwarf Spheroidals - Hotbed of Dark Matter or Test Bed of New Physics?

Details Dwarf Spheroidals - Hotbed of Dark Matter or Test Bed of New Physics? Dwarf Spheroidals - Hotbed of Dark Matter or Test Bed of New Physics?

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006dda....37.0404b&link_type=abstract

American Astronomical Society, DDA meeting #37, #4.04; Bulletin of the American Astronomical Society, Vol. 38, p.668

Astronomy and Astrophysics

Astronomy

Scientific paper

For many years, the dozen or so dSph's orbiting the Milky Way have been accused of harboring large (and varying) amounts of dark matter. How else can one explain the large dispersion in radial velocities observed within a single dSph? Newtonian tidal forces from the Milky Way itself are not helpful. These fall off as 1/R3 and are insignificant at the R 賓 kpc distances to the spheroidals.
The situation is entirely different with the sinusoidal potential. Sinusoidal gravity is a newly postulated replacement for dark matter (and dark energy).[1] Here the gravitational potential is alternately attractive and repulsive, with a universal wavelength determined empirically to be
λo =Ro /20 @ 400 pc.[1] . The potential from a point mass is φ(R) = -(GM/R) cos[2π R/λo]. When R>> λo, the potential resembles that of a (static) spherical wave. The potential, force, and tidal force ( φ(R), g(R), and dg(R)/dR) all fall off simply as 1/R. Not surprisingly, for extended mass distributions, Poisson's equation is replaced by one that could have been written by Helmholtz: Δφ+( 2π/λo) 2 φ = 4πρ.
At large distances from the Galaxy, the potential separates as a spherical wave should, into an angular part and a radial one: φ(R,b,l)= Ψ(b,l) cos[2πR/λo ]/R. Here I will show why, surprisingly, the central bar of the galaxy is a dominant contributor to Ψ(b,l). I also will present evidence from existing observations showing that the central bar is important for the dSph's and will make predictions for future observations.
[1] D.F. Bartlett. "Analogies between electricity and gravity", Metrologia 41, S115-S124 (2004). "Cosmology & the Sinusoidal Potential", AAS-208, Calgary, June, 2006.

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