Simple Harmonic Oscillator in k-MOND

Abstract

Pankovic and Kapor in 2010 proved a possibility that Milgrom’s modified Newtonian dynamics, MOND can be interpreted as a theory with the modified kinetic terms of the usual classical Newtonian dynamics, simply called k-MOND. In this work we used this possibility and tried to find the Newtonian and k-MOND analogue of behaviour of Simple harmonic oscillator.