A Machian interpretation is introduced for MOND and its conceptual advantage is discussed. PACS: 98.62.Dm

MOdified Newtonian dynamics (MOND) represents a phenomenological alternative to dark matter (DM) for the missing mass problem in galaxies and clusters of galaxies. We analyze the central regions of a local sample of �220 early-type galaxies from the ATLAS3D survey, to see if the data can be reproduced without recourse to DM. We estimate dynamical masses in the MOND context through Jeans analysi...

In MOND (modified Newtonian dynamics)-based theories the strong equivalence principle is generically broken in an idiosyncratic manner, manifested action of "external field effect (EFE)". The internal dynamics a self-gravitating system affected even by constant external field. disk galaxies EFE can induce warps and modify rotational speeds. Due to non-linearity MOND, it difficult derive analyti...

We use Diaferio (1999)'s caustic method to identify the member stars of five dwarf spheroidal (dSph) galaxies of the Milky Way, the smallest dark matter (DM) dominated systems in the Universe. We show that, after successful rejection of interlopers, the line-of-sight velocity dispersions are substantially smaller than previous calculations. With this, we use Jeans modelling to show that the DM ...

The aim of the present paper is to obtain a number of Kuhn-Tucker type sufficient optimality conditions for a feasible solution to be an efficient solution under the assumptions of the new notions of weak strictly pseudo quasi α-univex, strong pseudo quasi α-univex, and weak strictly pseudo α-univex vector valued functions. We also derive the duality theorems for Mond-Weir and general Mond-Wei...