  We begin to investigate the question of what modifications in energy-momentum
tensor can yield correct MOND regime. As a starting study, we refrain from
insisting on an action principle and focus exclusively on the equations of
motion. The present work, despite the absence of an explicit action functional,
can be regarded to extend Milgrom's modified inertia approach to relativistic
domain. Our results show that a proper MOND limit arises if energy-momentum
tensor is modified to involve determinant of the metric tensor in reference to
the flat metric, where the latter is dynamically generated as in gravitational
Higgs mechanism. This modified energy-momentum tensor is conserved in both
Newtonian and MONDian regimes.
