Screening and Antiscreening of the MOND field in Perturbed Spherical Systems

Understand

In the context of Modified Newtonian Dynamics (MOND), we study how perturbation of a spherically symmetric system would affect the gravitational field.

• In particular, we study systems of perturbed and unperturbed spherical shells.
• For a single perturbed shell, we show that the field inside the shell is much smaller than what would be expected from a naive scaling formula.
• The strength of the perturbation field within the shell is screened by the spherically symmetric component of the mass, and is reduced as the spherically symmetric component is increased.