1112.5443 (Ali Mozaffari)

Testing Different Formulations of MOND Using LISA Pathfinder    [PDF]

Ali Mozaffari

Previously it has been shown that MOdified Newtonian Dynamics (MOND) can be
tested near the saddle points of the Newtonian gravitational potential using
the forthcoming LISA Pathfinder (LPF) mission. These analysis focused on one
particular formulation of the MONDian theory, which centered around a
particular modified Poisson equation. We show that, in addition to the well
known AQUAL formulation, another possibility exists in the form of a driven
Poisson equation for the MONDian field. We consider similar quantitative and
qualitative analysis for this formulation and also investigate typical Signal
to Noise Ratios (SNR) resulting from these theories for a LPF test. We
demonstrate that for a typical 50 km saddle flyby, the SNR is amplified by 25%
between the two formulations. We also suggest that the SNR remains enhanced for
impact parameters of 1000km or larger. Finally we show that constraints from a
negative result remain as good, but no better between different formulations.

View original: http://arxiv.org/abs/1112.5443