Studies of stellar populations in early-type galaxies (ETGs) show that the more massive form earlier and have a shorter star formation history (SFH). In this study, we investigate initial conditions ETG formation. The study begins with collapse non-rotating post-Big-Bang gas clouds Milgromian (MOND) gravitation. These produce ETGs star-forming timescales (SFT) comparable to those observed real ...

Aims. Using a specific form of the interpolation MOND function, we explore some of the consequences for dwarf spheroidal galaxies. Methods. The particular form of the interpolation function used, leads to a law of gravity which naturally accounts for Newtonian and MONDian phenomena. We show that this does not violate dynamical constraints at sub-galactic and solar system scales, does not degrad...

We present predictions for the line-of-sight velocity dispersion profiles of dwarf spheroidal galaxies and compare them to observations in the case of the Fornax dwarf. The predictions are made in the framework of standard dynamical theory of spherical systems with different velocity distributions. The stars are assumed to be distributed according to Sérsic laws with parameters fitted to observ...

Using the Tuorla-Heidelberg model for the mass distribution of the Milky Way, I determine the rotation curve predicted by MOND. The result is in good agreement with the observed terminal velocities interior to the solar radius and with estimates of the Galaxy’s rotation curve exterior thereto. There are no fit parameters: given the mass distribution, MOND provides a good match to the rotation c...

We looked at the orbital motions of test particles according to the External Field Effect (EFE) predicted by the MOdified Newtonian Dynamics (MOND) in the Oort cloud which falls in the deep MONDian regime (r ≈ 50− 150 kAU). Concerning the interpolating function μ(x), we extensively used the forms μ1 = 1/(1+x),μ2 = x/(1+x),μ3/2 = x/(1+ x3/2)2/3. We integrated both the MOND and the Newtonian equa...

We use the galaxy rotation curves in SPARC database to compare 9 different dark matter and modified gravity models on an equal footing, paying special attention stellar mass-to-light ratios. three non-interacting models, a self interacting DM (SIDM) model, two hadronically (HIDM) Newtonian dynamics type models: MOND, Radial Acceleration Relation (RAR) maximal-disk model. The with DM-gas interac...

A nonlinear multiobjective programming problem is considered. Weak, strong and strict converse duality theorems are established under generalized second order (F, α, ρ, d)-convexity for second order Mangasarian type and general Mond-Weir type vector duals.

With the recent elevation of Milgrom’s MOdified Newtonian Dynamics (MOND) to a relativistic theory, the Tensor-Vector-Scalar (TeVeS) theory of Bekenstein, a theory of gravity now exists which does not require dark matter and is consistent with fundamental relativistic principles. However, it remains challenging numerically and analytically to tackle the non-linear equations of TeVeS, which make...

A proper test of Modified Newtonian Dynamics (MOND) in systems of non-trivial geometries depends on modelling subtle differences in several versions of its postulated theories. This is especially important for lensing and dynamics of barely virialised galaxy clusters with typical gravity of scale ∼ a0 ∼ 1Ås . The original MOND formula, the classical single field modification of the Poisson equa...