twin universe cosmology ghost matter astrophysical matter. 4 :
Joint gravitational instabilities. (p3) ......
...In a previous paper [10], we have presented a confining system for galaxies, supposed to be surrounded by dense and hot ghost matter. This model may simulate that. We just change the initial conditions. Below, many ping-pong balls, with large random velocities (maintained by fans). This prevents the formation of clumps in this medium. On the other hand: small heavy balls. Since the resultant of the forces due to the two systems is not zero, we can imagine that the pool is closed on all sides, in order to prevent the overall lifting of the fabric. The volumes of water, above and below, remain constant.
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If the thermal velocity is low enough, in the population of small heavy balls, they will form clumps. Conversely, these clumps will repel the surrounding ping-pong balls. Each subsystem acts on the other and the result is a confinement effect.
. Fig.6 :** 2D simulation of joint gravitational instability.** ( 3 : confinement of a galaxy, due to gravitational counter pressure of ghost matter ). ** **
3) Conclusions. ...
Starting from the two coupled field equations and assuming separate conservation equations, due to zero divergence conditions, we analyze the subsequent coupled Euler equations systems. This gives two coupled Jean's equations. A solution is given, which highlights the effect of joint gravitational instabilities.
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 : Ghost matter astrophysical matter. Astrom. and Astrophys. reference.... [2] J.P.Petit, Mod. Phys. Lett. A3 (1988) 1527 [3] J.P.Petit & P.Midy : Ghost matter astrophysical matter. 1 : The geometrical framework. The 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 : Ghost matter astrophysical matter. 5: Results of numerical 2D simulations. VLS. About a possible scheme for galaxies' formation. Geometrical Physics A, 8, March 1998. [8] J.P.Petit and P.Midy : Ghost matter astrophysical matter. 2. Conjugated steady state metrics. Exact solutions. Geometrical Physics A 5, March 1998. [9] J.P.Petit and P.Midy : Ghost matter astrophysical matter. 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.
