Connecting the Galactic and Cosmological Scales: Dark Energy and the Cuspy-Core Problem

Abstract

We propose a solution to the `cuspy-core' problem by extending the geodesic equations of motion using the Dark Energy length scale ${\lambda }_{DE}=c/({\Lambda }_{DE}G{)}^{1/2}$. This extension does not affect the motion of photons; gravitational lensing is unchanged. A cosmological check of the theory is made, and ${\sigma }_8$ is calculated to be $0.68_{\pm 0.11}$, compared to $0.761_{-0.048}^{+0.049}$ for WMAP. We estimate the fractional density of matter that cannot be determined through gravity at $0.197_{\pm 0.017}$, compared to $0.196_{-0.026}^{+0.025}$, the fractional density of nonbaryonic matter. The fractional density of matter that can be determined through gravity is estimated at $0.041_{-0.031}^{+0.030}$, compared to $0.0416_{-0.0039}^{+0.0038}$ for ${\Omega }_B$.

Eleven pages, written in RevTex. This letter submitted for publication reports on the results of the analysis found in the preprint 0711.3124 [astro-ph]. Moreover, the value of ${\Omega }_{asymp}$ has been corrected to 0.197, and $Omeg{a}_{Dyn}$ has been corrected to 0.041. Please refer to the longer paper for the detailed calculations and theory