A Mond Programme from Einstein Hilbert Action

TL;DR

This paper explores how including surface terms in the Einstein-Hilbert action modifies gravitational equations, leading to MOND-like acceleration effects at galactic scales, potentially explaining cosmic acceleration.

Contribution

It demonstrates that surface terms in the gravitational action can produce MOND-like behavior, linking surface term effects to galactic dynamics and cosmic acceleration.

Findings

Surface terms induce MOND-like acceleration at galactic scales

Modified Friedmann equations can explain cosmic acceleration

Classical limit of surface term effects reproduces observed galactic phenomena

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.