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We prove, by a general relativistic derivation, that the Universe is locally and globally, stable, resembling an extreme Kerr-white-hole—Universe.

Berman and da Costa [

Another proof, is going to be presented now. It is made out of the consideration that the Universe may be a rotating Kerr white-hole. More, we shall consider an “extreme” white-hole. Notice that local and global stability was, and will be established, when only Classical General Relativity is considered.

Let stand respectivelly for the mass, speed of light in vacuo, Newtonian gravitational constant, and “radius” of the Universe. The resulting angular momentum, , was formulated by Berman [2,3], by means of a theory that involved time-varying fundamental constants, as,

where, of course,

We shall see in the sequence, that extreme Kerr white holes, present this same angular momentum relation.

Consider, the rotational parameter of Kerrs white-hole,

According to MTW [

Extreme black or white holes, are attained when spin is maximum, and the square root above is zero. Thus, we find, for the Universe,

and,

Birch [5,6] has been one of the first researchers who reported possible Universal Rotation data.

Now let us see some of the recent experimental evidence on the rotation or vorticity in the Universe.

1) Su and Chu [

2) Chechin [

3) With the data for rotation of the polarization of CMBR, which points to an angle of 0.1 rad [

We conclude that the rotation of the Universe, is real, and is the natural explanation for the Pioneers Anomaly. The fact that the sign of the angular speed could be negative, and not positive,makes the General Relativistic theory explain the left-handed preference. The spinning down of the spacecrafts could also be explained by us, through rotation of the Universe, and then, there is an evidence of a cosmological frame-dragging.

1) Sidharth [^{–18} rad/s.

Sidharth [_{S} ~ 10^{34} cm∙g∙cm/s; for galaxies, J_{G} ~ 10^{54} cm∙g∙cm/s; for superclusters, J_{C} ~ 10^{74} cm∙g∙cm/s, and, then, next scale is the Universe, finding (Berman’s [_{U} ~ 10^{93} cm∙g∙cm/s. Of course, for Planck’s Universe, we have Planck’s constants as the angular momentum.

The logic of his formulae lie on relations of the type:

;

and, where, the virial theorem yields,

.

There is an empirical relation relating the typical number of superclusters, galaxies, etc, with each typical size and its radii.

the analoges of Compton wavelength.

The data for N is 10^{6} for superclusters, 10^{11} for galaxies and stars in a galaxy and 10^{80} for the Universe; the typical size is 10^{25} cm for superclusters, 10^{23} cm for galaxies, etc.

The general idea is that every subset in the Universe has spin, so we may extrapolate for the whole Universe. Asimmetry and anisotropy in cosmic microwave background flutuations were analised by WMAP data and were studied by Palle [

2) Godlowski [

Recently, Pontzen and Challinor, examining effects of cosmic microwave background radiation polarization induced by global rotation demonstrated that they could determined constraints on it. Su and Chu [

The rotating Universe is a peculiar “extreme” Kerrwhite-hole, and, being isolated, is stable, both locally and globally.

MSB thanks Newton C. A. da Costa, Fernando M. Gomide, Nelson Suga, Mauro Tonasse, Antonio F. da F. Teixeira, and for the important incentive offered by Miss Solange Lima Kaczyk, now a brand new advocate, continued during the last five years of his research in Cosmology.