New Relativistic Theory for Modified Newtonian Dynamics

We propose a relativistic gravitational theory leading to modified Newtonian dynamics, a paradigm that explains the observed universal galactic acceleration scale and related phenomenology. We discuss phenomenological requirements leading to its construction and demonstrate its agreement with the observed cosmic microwave background and matter power spectra on linear cosmological scales. We show that its action expanded to second order is free of ghost instabilities and discuss its possible embedding in a more fundamental theory.

Automated summary

The proposed relativistic gravitational theory leads to a modified Newtonian dynamics paradigm that explains the observed universal galactic acceleration scale and related phenomena. It meets the phenomenological requirements and is consistent with the observed cosmic microwave background and matter power spectra on linear cosmological scales. The theory shows stability without ghost instabilities and the possibility of being embedded in a more fundamental theory.