Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Dark Matter as a Metric Perturbation

Version 1 : Received: 15 November 2016 / Approved: 16 November 2016 / Online: 16 November 2016 (09:39:24 CET)

How to cite: Stuckey, W.M.; McDevitt, T.; Sten, A.K.; Silberstein, M. Dark Matter as a Metric Perturbation. Preprints 2016, 2016110080. Stuckey, W.M.; McDevitt, T.; Sten, A.K.; Silberstein, M. Dark Matter as a Metric Perturbation. Preprints 2016, 2016110080.


Since general relativity (GR) has already established that matter can simultaneously have two different values of mass depending on its context, we argue that the missing mass attributed to non-baryonic dark matter (DM) actually obtains because there are two different values of mass for the baryonic matter involved. The globally obtained "dynamical mass'' of baryonic matter can be understood as a small perturbation to a background spacetime metric even though it's much larger than the locally obtained "proper mass". Having successfully fit the SCP Union2.1 SN Ia data without accelerating expansion or a cosmological constant, we employ the same ansatz to compute dynamical mass from proper mass and explain galactic rotation curves (THINGS data), the mass profiles of X-ray clusters (ROSAT and ASCA data) and the angular power spectrum of the cosmic microwave background (Planck 2015 data) without DM. We compare our fits to modified Newtonian dynamics (MOND), metric skew-tensor gravity (MSTG) and scalar-tensor-vector gravity (STVG) for each data set, respectively, since these modified gravity programs are known to generate good fits to these data. Overall, we find our fits to be comparable to those of MOND, MSTG and STVG. While this favorable comparison does not establish the validity of our proposition, it does provide confidence in using the fits to pursue an underlying action. Indeed, the functional form of our ansatz reveals an interesting structure in these fits.


dark matter; THINGS; MOND; metric skew-tensor gravity; scalar-tensor-vector gravity; CMB angular power spectrum


Physical Sciences, Astronomy and Astrophysics

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