Hi guys! It is well known that the usual force based formulation of Newtonian gravity can be recast in a purely geometric form much like general relativity. This was originally done by Cartan and his theory is known as Newton-Cartan theory. Now I've tried to read up on rigorous formulations of geometrized Newtonian gravity but all I can find are philosophy of physics sources (not to say that this is a bad thing). For example, the entirety of chapter 4 of Malament's text "Topic in the Foundations of General Relativity and Newtonian Gravitation Theory" is dedicated to giving a truly rigorous formulation of geometrized Newtonian gravity but there is a clear philosophical underpinning in the physics so presented. If I try to find online resources I keep ending up at philosophy of physics. Does anyone know of a physics text/resource that deals rigorously with geometrized Newtonian gravity? I understand that this will not exactly be common because it has no direct use in physics and is really just around in order to juxtapose the foundations of general relativity with that of Newtonian gravity while on a level playing field (i.e. treating them as two different geometric theories of gravity) but I would really like a resource/text that has zero philosophical underpinnings (i.e. a physics text). Thanks in advance.