Cosmological structure formation under MOND. A new numerical solver for the Poisson’s equation

¹ Astrophysical Institute Potsdam, An der Sternwarte 16, 14482 Potsdam, Germany
² SUPA, School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, Fife KY16 9SS, UK

Abstract

We present a novel solver for an analogue to Poisson’s equation in the framework of modified Newtonian dynamics (MOND). This equation is highly non-linear and hence standard codes based upon tree structures and/or FFT’s in general are not applicable; one needs to defer to multi-grid relaxation techniques. We present results from the first cosmological simulations we made to compare cosmological structure formation of in the two paradigms. We found compatible results between the two simulations, at least at redshift z = 0.