Testing Different Formulations of MOND Using LISA Pathfinder

Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics

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9 Pages, 5 Figures, Submitted To CQG

Scientific paper

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.

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