A Mond Programme from Einstein Hilbert Action

Abstract

In the usual derivation of Einstein's equation from action, the surface terms are neglected. Hawking \cite{hw} gave a derivation of the gravitational Hamiltonian keeping all surface terms. Using such surface terms Easson et.al.\cite{ea} showed that Friedmann equation could get modified and using the modified Friedmann equation they could explain the cosmic acceleration. We study the effect of surface terms on a galactic scale and find that the classical limit of the modified Friedmann equation will lead to a MOND like acceleration term.

5 pages