Matter
ghost matter astrophysics. 4 :
Joint gravitational
instabilities.(p3)
......
...In
a former paper [10] we have presented a confining system for galaxies, supposed
to be surrounded by dense and hot ghost matter. The model may simulate that.
We just change the initial conditions. Below, many ping-pong balls, with large
random velocities (sustained by
fans). This prevent the formation of clumps in this medium. Upon : tiny weighting
balls. As the resultat of the forces due to the two systems would be non zero,
we can imagine that the pool is closed on all sides, so that it prevent the
global lift of the linen. The volumes of water, upon and below remains constant.
...
...
If the thermal velocity is small
enough, in the population of tiny weighting balls they will form clumps. Conversely
this clump will repel the surrounding ping-pong balls. Each sub-system acts
on the other and the result is a confinment effect.

.
Fig.6 :2d simulation of joint gravitational instability.
( 3 : confinment of a galaxy,
due to gravitational counter pressure of ghost material ).
3) Conclusions.
...
Starting from the two coupled
field equation and assuming separate conservations equations, due to zero
divergence conditions, we analyze the susbsequent coupled Euler equations
systems. This gives two coupled Jean's equations. A solution is given, which
evidence the joint graviotational instabilities effect.
References.
[1] J.P.Petit : The missing mass
effect. Il Nuovo Cimento, B , vol. 109, july 1994, pp. 697-710[1] J.P.Petit,
P.Midy and F. Landsheat : Matter ghost matter astrophysics. Astrom. and Astrophys.
reference....
[2] J.P.Petit, Mod. Phys. Lett. A3 (1988) 1527
[3] J.P.Petit & P.Midy : Matter ghost matter astrophysics. 1 : The
geometrical framework. Tha matter era and the newtonian approximation. Geometrical
Physics A , 4 , march 1998.
[4] J.P.Petit, Mod. Phys. Lett. A3 (1988) 1733
[5] J.P.Petit, Mod. Phys. Lett. A4 (1989) 2201
[6] Petit J.P. : Twin Universe Cosmology. Astrophysics and Space Science.
Astr. And Sp. Sc. 226 : 273-307, 1995
[7] J.P.Petit and P.Midy : Matter ghost matter astrophysics. 5: Results of
numerical 2d simulations. VLS. About a possible schema for galaxies' formation.
Geometrical Physics A, 8, march 1998.
[8] J.P.Petit and P.Midy : Matter ghost matter astrophysics. 2. Conjugated
steady state metrics. Exact solutions. Geometrical Physics A 5 , march 1998.
[9] J.P.Petit and P.Midy : Matter ghost matter astrophysics. 3. The radiative
era. The problem of the "origin" of the universe. The problem of the homogeneity
of the early universe. Geometrical physics A, 6, march 1998.
[10] J.P.Petit and P.Midy : Repulsive dark matter. Geometrical Physics A ,
3 , march 1998.
