General relativity today

La relativité générale aujourd'hui

Since I showed, by elementary means of harmonic analysis on the Lie groups, that the metric of De Sitter admits the three different shapes of Robertson-Walker, I was interested in general relativity. Here a presentation by topic and figures of some results obtained. It is possible to ask me the corresponding preprints or to copy files postscript (in French). Let us start with : Misconceptions ? (2014).

The universe is very old

The universe has from 10 to 50 billion years

following Ho values (100 - 50 km/s/Mpc) and those of the density parameter Omega (varying from 0 to 1 or more).
This result rests on the fact that for model of a homogeneous and isotropic universe, the interpretation of the stress-energy tensor in a Comobil frame of reference must to be done in terms of COdensity and COpressure.
The red curve indicates the age of the universe when the tensor is supposed to translate a density and a pressure (standard model), the green curve, when it expresses COdensity and COpressure.
For Omega=0.7 and Ho=75, to=19 billion years.

The Pioneer effect The Foucault pendulum

The space time is flat and curved

The myth of black holes

The flatness of the rotation curves for galaxies is normal

On left-hand side the curve of rotation observed for the Andromda galaxy,

on the rigth the surface curve of surface density obtained.
Andromeda weights 250 billion suns.

a fast and robust program (2014) with maple18


The recourse to a massive halo is not necessary!

Three problems of missing mass


General relativity and quantum mechanics:

The scale covariance

Is general relativity a theory of the gravitation or a geometrical framework?

The harmonic gauge

Is general relativity a space-time theory or a theory of the movement?

Epistemological Problems