Structure of Minkowski Space

[Naty1]

In another thread Fredrik referenced THE RICH STRUCTURE OF MINKOWSKI SPACE at
http://arxiv.org/abs/0802.4345..(The math is NOT simple!) But the introduction got me wondering...
around page three is this statement:

The theoretical results currently available fall into two categories: rigorous results on approximate models and approximate
results in realistic models. ...To me this seems to be the generic situation in theoretical physics. In that respect, Minkowski space is certainly an approximate model, but to a very good approximation indeed: as global model of spacetime if gravity plays
no dynamical role, and as local model of spacetime in far more general situ-
ations.

So what knowledge regarding more exact models of spacetime and the relativity that results have been developed ? Has anybody "updated" Einstein's great work?

 

[George Jones]

So what knowledge regarding more exact models of spacetime and the relativity that results have been developed ? Has anybody "updated" Einstein's great work?

Solutions to Einstein's equation, like for example, Schwarzschild, Kerr, Friedmann-Robertson-Walker.

 

[Naty1]

From Moniker2:
i don't know if these papers help with your spacetime work.http://www.theresonanceproject.org/pdf/torque_paper.pdf

http://arxiv.org/abs/physics/0306074

 

[Naty1]

A synopsis from the Abstract and Introduction to: http://www.theresonanceproject.org/pdf/torque_paper.pdf (2004)

" We address the nature of torque and the Coriolis forces as dynamic properties of the spacetime metric and the stress-energy tensor. The inclusion of torque and Coriolis effects in Einstein’s field equations may lead to significant advancements in describing novae and supernovae structures, galactic formations, their center supermassive black holes, polar jets, accretion disks, spiral arms, galactic halo formations... We formulate these additional torque and Coriolis forces terms to amend Einstein’s field equations...

Current standard theory assumes spin/rotation to be the result of an initial impulse generated in the Big Bang conserved over billions of years of evolution in a frictionless environment. Although this first theoretical approximation may have been adequate to bring us to our current advanced theoretical models, the necessity to better describe the origin and evolution of spin/rotation, in an environment now observed to have various plasma
viscosity densities and high field interaction dynamics which is inconsistent with a frictionless ideal environment, may be paramount to a complete theoretical model. We do so by formulating torque and Coriolis forces into Einstein’s field equations and developing a modified Kerr-Newman solution where the spacetime torque, Coriolis effect and torsion of the manifold becomes the source of spin /rotation. Thus, incorporating torque in Einstein’s
stress energy term may lead to a more comprehensive description of the dynamic rotational structures of organized matter in the universe such as galactic formations, polar jets, accretion disks, spiral arms, and galactic halos without the need to resort to dark matter/dark energy constructs. These additions to Einsteinian spacetime may as well help
describe atomic and subatomic particle interactions and produce a unification of fundamental forces as preliminarily described in section five of this paper..."
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Just the kind of thing I was wondering...I did not even know such cosmological rotational kinematics was under study from a field equation perspective...I wonder if anything relating to dark energy dark matter is reflected here...and what developed, if anything, in the standard model regarding atomic and sub atomic particle interactions??